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106174731292 = 227314713119867
BaseRepresentation
bin110001011100010000…
…0011101010000011100
3101011001111111012012021
41202320200131100130
53214421212400132
6120435340545524
710446052216360
oct1427040352034
9334044435167
10106174731292
1141034960113
12186b18522a4
13a020b561b6
1451d31552a0
152b66389997
hex18b881d41c

106174731292 has 96 divisors (see below), whose sum is σ = 225583497216. Its totient is φ = 42767524800.

The previous prime is 106174731277. The next prime is 106174731329. The reversal of 106174731292 is 292137471601.

It is a super-2 number, since 2×1061747312922 (a number of 23 digits) contains 22 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, 5334343 + ... + 5354209.

It is an arithmetic number, because the mean of its divisors is an integer number (2349828096).

Almost surely, 2106174731292 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 106174731292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112791748608).

106174731292 is an abundant number, since it is smaller than the sum of its proper divisors (119408765924).

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

106174731292 is a wasteful number, since it uses less digits than its factorization.

106174731292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 106174731292 in words is "one hundred six billion, one hundred seventy-four million, seven hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 131 188 217 262 329 434 524 658 868 917 1316 1457 1834 2914 3668 4061 5828 6157 8122 10199 12314 16244 19867 20398 24628 28427 39734 40796 43099 56854 79468 86198 113708 139069 172396 190867 278138 381734 556276 615877 763468 933749 1231754 1336069 1867498 2463508 2602577 2672138 3734996 4311139 5205154 5344276 6536243 8622278 10410308 13072486 17244556 18218039 26144972 28946219 36436078 57892438 72872156 80679887 115784876 122321119 161359774 202623533 244642238 322719548 405247066 489284476 564759209 810494132 856247833 1129518418 1712495666 2259036836 3424991332 3791954689 7583909378 15167818756 26543682823 53087365646 106174731292