Search a number
-
+
232113001312608 = 25313261837103387
BaseRepresentation
bin110100110001101100000100…
…111111011011000101100000
31010102211210020011002010021220
4310301230010333123011200
5220410414411314000413
62141355124000015040
766614416360563063
oct6461540477330540
91112753204063256
10232113001312608
1167a5a631081939
122204907a601480
139c692151b31c0
1441464874ac8da
151bc7bd2691223
hexd31b04fdb160

232113001312608 has 96 divisors (see below), whose sum is σ = 656190752990976. Its totient is φ = 71416647264768.

The previous prime is 232113001312603. The next prime is 232113001312609. The reversal of 232113001312608 is 806213100311232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113001312603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29124691 + ... + 36228077.

It is an arithmetic number, because the mean of its divisors is an integer number (6835320343656).

Almost surely, 2232113001312608 is an apocalyptic number.

It is an amenable number.

232113001312608 is an abundant number, since it is smaller than the sum of its proper divisors (424077751678368).

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

232113001312608 is a wasteful number, since it uses less digits than its factorization.

232113001312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129596 (or 7129588 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 232113001312608 in words is "two hundred thirty-two trillion, one hundred thirteen billion, one million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 26183 52366 78549 104732 157098 209464 314196 340379 418928 628392 680758 837856 1021137 1256784 1361516 2042274 2513568 2723032 4084548 5446064 7103387 8169096 10892128 14206774 16338192 21310161 28413548 32676384 42620322 56827096 85240644 92344031 113654192 170481288 184688062 227308384 277032093 340962576 369376124 554064186 681925152 738752248 1108128372 1477504496 2216256744 2955008992 4432513488 8865026976 185987981821 371975963642 557963945463 743951927284 1115927890926 1487903854568 2231855781852 2417843763673 2975807709136 4463711563704 4835687527346 5951615418272 7253531291019 8927423127408 9671375054692 14507062582038 17854846254816 19342750109384 29014125164076 38685500218768 58028250328152 77371000437536 116056500656304 232113001312608