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20177492192 = 25111313193343
BaseRepresentation
bin10010110010101011…
…000001100011100000
31221002012111210202122
4102302223001203200
5312310414222232
613134105403412
71313005565564
oct226253014340
957065453678
1020177492192
118614739590
123ab1499568
131b973b11c0
14d95ac96a4
157d162b312
hex4b2ac18e0

20177492192 has 96 divisors (see below), whose sum is σ = 46718622720. Its totient is φ = 8457131520.

The previous prime is 20177492191. The next prime is 20177492213. The reversal of 20177492192 is 29129477102.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20177492191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6034073 + ... + 6037415.

It is an arithmetic number, because the mean of its divisors is an integer number (486652320).

Almost surely, 220177492192 is an apocalyptic number.

20177492192 is a gapful number since it is divisible by the number (22) 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 20177492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

20177492192 is an abundant number, since it is smaller than the sum of its proper divisors (26541130528).

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

20177492192 is a wasteful number, since it uses less digits than its factorization.

20177492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 20177492192 in words is "twenty billion, one hundred seventy-seven million, four hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1319 2288 2638 3343 4576 5276 6686 10552 13372 14509 17147 21104 26744 29018 34294 36773 42208 43459 53488 58036 68588 73546 86918 106976 116072 137176 147092 173836 188617 232144 274352 294184 347672 377234 464288 478049 548704 588368 695344 754468 956098 1176736 1390688 1508936 1912196 3017872 3824392 4409417 6035744 7648784 8818834 15297568 17637668 35275336 48503587 57322421 70550672 97007174 114644842 141101344 194014348 229289684 388028696 458579368 630546631 776057392 917158736 1261093262 1552114784 1834317472 2522186524 5044373048 10088746096 20177492192