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47902399440 = 2435733186143
BaseRepresentation
bin101100100111001101…
…001001101111010000
311120122101211000121020
4230213031021233100
51241101003240230
634001150355440
73314031451140
oct544715115720
9146571730536
1047902399440
1119351723775
12934a4bbb80
13469531206c
142465d0a920
1513a5653810
hexb27349bd0

47902399440 has 160 divisors (see below), whose sum is σ = 170226057216. Its totient is φ = 10915914240.

The previous prime is 47902399411. The next prime is 47902399453. The reversal of 47902399440 is 4499320974.

47902399440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×479023994403 (a number of 33 digits) contains 333 as substring.

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, 513009 + ... + 599151.

Almost surely, 247902399440 is an apocalyptic number.

47902399440 is a gapful number since it is divisible by the number (40) 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 47902399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113028608).

47902399440 is an abundant number, since it is smaller than the sum of its proper divisors (122323657776).

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

47902399440 is a wasteful number, since it uses less digits than its factorization.

47902399440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86497 (or 86491 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 47902399440 in words is "forty-seven billion, nine hundred two million, three hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 331 336 420 560 662 840 993 1324 1655 1680 1986 2317 2648 3310 3972 4634 4965 5296 6620 6951 7944 9268 9930 11585 13240 13902 15888 18536 19860 23170 26480 27804 34755 37072 39720 46340 55608 69510 79440 86143 92680 111216 139020 172286 185360 258429 278040 344572 430715 516858 556080 603001 689144 861430 1033716 1206002 1292145 1378288 1722860 1809003 2067432 2412004 2584290 3015005 3445720 3618006 4134864 4824008 5168580 6030010 6891440 7236012 9045015 9648016 10337160 12060020 14472024 18090030 20674320 24120040 28513333 28944048 36180060 48240080 57026666 72360120 85539999 114053332 142566665 144720240 171079998 199593331 228106664 285133330 342159996 399186662 427699995 456213328 570266660 598779993 684319992 798373324 855399990 997966655 1140533320 1197559986 1368639984 1596746648 1710799980 1995933310 2281066640 2395119972 2993899965 3193493296 3421599960 3991866620 4790239944 5987799930 6843199920 7983733240 9580479888 11975599860 15967466480 23951199720 47902399440