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252552062616 = 233715119015237
BaseRepresentation
bin1110101100110101000…
…1101010011010011000
3220010212210021001212220
43223031101222122120
513114211312000431
6312004255104040
724150322053360
oct3531521523230
9803783231786
10252552062616
119811a067707
1240b43212020
131aa7aa19509
14c31b7359a0
156881dcab96
hex3acd46a698

252552062616 has 128 divisors (see below), whose sum is σ = 726876840960. Its totient is φ = 71628480000.

The previous prime is 252552062593. The next prime is 252552062629. The reversal of 252552062616 is 616260255252.

252552062616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48221950 + ... + 48227186.

It is an arithmetic number, because the mean of its divisors is an integer number (5678725320).

Almost surely, 2252552062616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252552062616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363438420480).

252552062616 is an abundant number, since it is smaller than the sum of its proper divisors (474324778344).

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

252552062616 is a wasteful number, since it uses less digits than its factorization.

252552062616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 252552062616 in words is "two hundred fifty-two billion, five hundred fifty-two million, sixty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 302 453 604 906 1057 1208 1812 1901 2114 3171 3624 3802 4228 5237 5703 6342 7604 8456 10474 11406 12684 13307 15208 15711 20948 22812 25368 26614 31422 36659 39921 41896 45624 53228 62844 73318 79842 106456 109977 125688 146636 159684 219954 287051 293272 319368 439908 574102 790787 861153 879816 1148204 1581574 1722306 2009357 2296408 2372361 3163148 3444612 4018714 4744722 5535509 6028071 6326296 6889224 8037428 9489444 9955537 11071018 12056142 16074856 16606527 18978888 19911074 22142036 24112284 29866611 33213054 39822148 44284072 48224568 59733222 66426108 69688759 79644296 119466444 132852216 139377518 209066277 238932888 278755036 418132554 557510072 836265108 1503286087 1672530216 3006572174 4509858261 6013144348 9019716522 10523002609 12026288696 18039433044 21046005218 31569007827 36078866088 42092010436 63138015654 84184020872 126276031308 252552062616