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20192461708272 = 2437832632753063
BaseRepresentation
bin1001001011101011011001…
…00000011101101111110000
32122111101021101010021221020
410211311230200131233300
510121313130144131042
6110540142220255440
74152600011400660
oct445655440355760
978441241107836
1020192461708272
116485636244077
1223215266a1580
13b361aa928a59
144db46b1001a0
152503bb6123ec
hex125d6c81dbf0

20192461708272 has 160 divisors (see below), whose sum is σ = 60563531685888. Its totient is φ = 5678091264768.

The previous prime is 20192461708261. The next prime is 20192461708333. The reversal of 20192461708272 is 27280716429102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5958013 + ... + 8711075.

Almost surely, 220192461708272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20192461708272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30281765842944).

20192461708272 is an abundant number, since it is smaller than the sum of its proper divisors (40371069977616).

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

20192461708272 is a wasteful number, since it uses less digits than its factorization.

20192461708272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753427 (or 2753421 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 20192461708272 in words is "twenty trillion, one hundred ninety-two billion, four hundred sixty-one million, seven hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 263 332 336 498 526 581 664 789 996 1052 1162 1328 1578 1743 1841 1992 2104 2324 3156 3486 3682 3984 4208 4648 5523 6312 6972 7364 9296 11046 12624 13944 14728 21829 22092 27888 29456 43658 44184 65487 87316 88368 130974 152803 174632 261948 305606 349264 458409 523896 611212 916818 1047792 1222424 1833636 2444848 2753063 3667272 5506126 7334544 8259189 11012252 16518378 19271441 22024504 33036756 38542882 44049008 57814323 66073512 77085764 115628646 132147024 154171528 228504229 231257292 308343056 457008458 462514584 685512687 724055569 914016916 925029168 1371025374 1448111138 1599529603 1828033832 2172166707 2742050748 2896222276 3199059206 3656067664 4344333414 4798588809 5068388983 5484101496 5792444552 6398118412 8688666828 9597177618 10136777966 10968202992 11584889104 12796236824 15205166949 17377333656 19194355236 20273555932 25592473648 30410333898 34754667312 38388710472 40547111864 60096612227 60820667796 76777420944 81094223728 120193224454 121641335592 180289836681 240386448908 243282671184 360579673362 420676285589 480772897816 721159346724 841352571178 961545795632 1262028856767 1442318693448 1682705142356 2524057713534 2884637386896 3365410284712 5048115427068 6730820569424 10096230854136 20192461708272