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3729199945068 = 2233132656125317
BaseRepresentation
bin110110010001000101101…
…000110101010101101100
3111012111201100121120112000
4312101011220311111230
5442044400141220233
611533100521012300
7533266023343563
oct66210550652554
914174640546460
103729199945068
1112085aa170284
125028b1624090
1321087b690040
14cc6cc2a4bda
156701208bd13
hex36445a3556c

3729199945068 has 48 divisors (see below), whose sum is σ = 10412011246560. Its totient is φ = 1147446136512.

The previous prime is 3729199944997. The next prime is 3729199945171. The reversal of 3729199945068 is 8605499919273.

3729199945068 is a `hidden beast` number, since 3 + 7 + 29 + 1 + 9 + 9 + 94 + 506 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3729199944987 and 3729199945005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328061255 + ... + 1328064062.

It is an arithmetic number, because the mean of its divisors is an integer number (216916900970).

It is a 1-persistent number, because it is pandigital, but 2⋅3729199945068 = 7458399890136 is not.

Almost surely, 23729199945068 is an apocalyptic number.

It is an amenable number.

3729199945068 is an abundant number, since it is smaller than the sum of its proper divisors (6682811301492).

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

3729199945068 is a wasteful number, since it uses less digits than its factorization.

3729199945068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656125343 (or 2656125335 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 3729199945068 in words is "three trillion, seven hundred twenty-nine billion, one hundred ninety-nine million, nine hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2656125317 5312250634 7968375951 10624501268 15936751902 23905127853 31873503804 34529629121 47810255706 69059258242 71715383559 95620511412 103588887363 138118516484 143430767118 207177774726 286861534236 310766662089 414355549452 621533324178 932299986267 1243066648356 1864599972534 3729199945068