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102619448741712 = 243713910267214009
BaseRepresentation
bin10111010101010011110011…
…110010100000111101010000
3111110100022201211020212210010
4113111103303302200331100
5101422304112334213322
61002130420212034520
730421003414110240
oct2725236362407520
9443308654225703
10102619448741712
112a774733593011
12b614405902a40
134534c847512b6
141b4ab44931b20
15bce579c9520c
hex5d54f3ca0f50

102619448741712 has 160 divisors (see below), whose sum is σ = 305182505958400. Its totient is φ = 29105937183744.

The previous prime is 102619448741687. The next prime is 102619448741741. The reversal of 102619448741712 is 217147844916201.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479402964 + ... + 479616972.

It is an arithmetic number, because the mean of its divisors is an integer number (1907390662240).

Almost surely, 2102619448741712 is an apocalyptic number.

102619448741712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102619448741712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152591252979200).

102619448741712 is an abundant number, since it is smaller than the sum of its proper divisors (202563057216688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102619448741712 is a wasteful number, since it uses less digits than its factorization.

102619448741712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224433 (or 224427 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 102619448741712 in words is "one hundred two trillion, six hundred nineteen billion, four hundred forty-eight million, seven hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1668 1946 2224 2919 3336 3892 5838 6672 7784 10267 11676 15568 20534 23352 30801 41068 46704 61602 71869 82136 123204 143738 164272 214009 215607 246408 287476 428018 431214 492816 574952 642027 856036 862428 1149904 1284054 1427113 1498063 1712072 1724856 2568108 2854226 2996126 3424144 3449712 4281339 4494189 5136216 5708452 5992252 8562678 8988378 9989791 10272432 11416904 11984504 17125356 17976756 19979582 22833808 23969008 29747251 29969373 34250712 35953512 39959164 59494502 59938746 68501424 71907024 79918328 89241753 118989004 119877492 159836656 178483506 208230757 237978008 239754984 356967012 416461514 475956016 479509968 624692271 713934024 832923028 1249384542 1427868048 1665846056 2197230403 2498769084 3331692112 4394460806 4997538168 6591691209 8788921612 9995076336 13183382418 15380612821 17577843224 26366764836 30761225642 35155686448 46141838463 52733529672 61522451284 92283676926 105467059344 123044902568 184567353852 246089805136 305415026017 369134707704 610830052034 738269415408 916245078051 1221660104068 1832490156102 2137905182119 2443320208136 3664980312204 4275810364238 4886640416272 6413715546357 7329960624408 8551620728476 12827431092714 14659921248816 17103241456952 25654862185428 34206482913904 51309724370856 102619448741712