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2131113798648 = 2332293132924141
BaseRepresentation
bin11111000000110000010…
…001111110101111111000
321112201202222120221002200
4133000300101332233320
5234404010113024043
64311004204430200
7306652662255552
oct37006021765770
97481688527080
102131113798648
117518891aa36a
122a5035848360
13125c6a10b453
1475209c4a4d2
153a67da007d3
hex1f03047ebf8

2131113798648 has 96 divisors (see below), whose sum is σ = 6163399382400. Its totient is φ = 663750662400.

The previous prime is 2131113798643. The next prime is 2131113798673. The reversal of 2131113798648 is 8468973111312.

2131113798648 is a `hidden beast` number, since 213 + 1 + 11 + 379 + 8 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2131113798594 and 2131113798603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131113798643) 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, 16397343 + ... + 16526798.

It is an arithmetic number, because the mean of its divisors is an integer number (64202076900).

Almost surely, 22131113798648 is an apocalyptic number.

It is an amenable number.

2131113798648 is an abundant number, since it is smaller than the sum of its proper divisors (4032285583752).

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

2131113798648 is a wasteful number, since it uses less digits than its factorization.

2131113798648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32924213 (or 32924206 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 2131113798648 in words is "two trillion, one hundred thirty-one billion, one hundred thirteen million, seven hundred ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2088 2232 2697 3596 5394 7192 8091 10788 16182 21576 32364 64728 32924141 65848282 98772423 131696564 197544846 263393128 296317269 395089692 592634538 790179384 954800089 1020648371 1185269076 1909600178 2041296742 2370538152 2864400267 3061945113 3819200356 4082593484 5728800534 6123890226 7638400712 8165186968 8593200801 9185835339 11457601068 12247780452 17186401602 18371670678 22915202136 24495560904 29598802759 34372803204 36743341356 59197605518 68745606408 73486682712 88796408277 118395211036 177592816554 236790422072 266389224831 355185633108 532778449662 710371266216 1065556899324 2131113798648