Search a number
-
+
252060691968 = 293318233557
BaseRepresentation
bin1110101010111111111…
…1001110111000000000
3220002121112122212002000
43222233333032320000
513112210014120333
6311443423224000
724132204350031
oct3525777167000
9802545585060
10252060691968
1197997764668
1240a26748000
131a9ccc96157
14c2b2388a88
156853bb9713
hex3aaffcee00

252060691968 has 80 divisors (see below), whose sum is σ = 746117193360. Its totient is φ = 84020226048.

The previous prime is 252060691901. The next prime is 252060691979. The reversal of 252060691968 is 869196060252.

It is a happy number.

252060691968 is a `hidden beast` number, since 2 + 5 + 20 + 606 + 9 + 1 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9102955 + ... + 9130602.

It is an arithmetic number, because the mean of its divisors is an integer number (9326464917).

Almost surely, 2252060691968 is an apocalyptic number.

It is an amenable number.

252060691968 is an abundant number, since it is smaller than the sum of its proper divisors (494056501392).

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

252060691968 is an equidigital number, since it uses as much as digits as its factorization.

252060691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233584 (or 18233562 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 252060691968 in words is "two hundred fifty-two billion, sixty million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 18233557 36467114 54700671 72934228 109401342 145868456 164102013 218802684 291736912 328204026 437605368 492306039 583473824 656408052 875210736 984612078 1166947648 1312816104 1750421472 1969224156 2333895296 2625632208 3500842944 3938448312 4667790592 5251264416 7001685888 7876896624 9335581184 10502528832 14003371776 15753793248 21005057664 28006743552 31507586496 42010115328 63015172992 84020230656 126030345984 252060691968