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106932858984 = 23327316844141
BaseRepresentation
bin110001110010110110…
…0011111000001101000
3101020000100001001212200
41203211230133001220
53222444302441414
6121042502140200
710503616206240
oct1434554370150
9336010031780
10106932858984
11413938a1726
1218883721660
13a111c38273
145265b00b20
152bacbe0109
hex18e5b1f068

106932858984 has 96 divisors (see below), whose sum is σ = 341659568640. Its totient is φ = 29566684800.

The previous prime is 106932858983. The next prime is 106932859013. The reversal of 106932858984 is 489858239601.

106932858984 is a `hidden beast` number, since 10 + 6 + 9 + 32 + 8 + 589 + 8 + 4 = 666.

It is a super-2 number, since 2×1069328589842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106932858983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3406447 + ... + 3437694.

It is an arithmetic number, because the mean of its divisors is an integer number (3558953840).

Almost surely, 2106932858984 is an apocalyptic number.

106932858984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106932858984 is an abundant number, since it is smaller than the sum of its proper divisors (234726709656).

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

106932858984 is a wasteful number, since it uses less digits than its factorization.

106932858984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844191 (or 6844184 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 106932858984 in words is "one hundred six billion, nine hundred thirty-two million, eight hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 6844141 13688282 20532423 27376564 41064846 47908987 54753128 61597269 82129692 95817974 123194538 143726961 164259384 191635948 212168371 246389076 287453922 383271896 424336742 431180883 492778152 574907844 636505113 848673484 862361766 1149815688 1273010226 1485178597 1697346968 1724723532 1909515339 2546020452 2970357194 3449447064 3819030678 4455535791 5092040904 5940714388 7638061356 8911071582 11881428776 13366607373 15276122712 17822143164 26733214746 35644286328 53466429492 106932858984