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252151511010040 = 235172879128798557
BaseRepresentation
bin111001010101010010011001…
…001111100100101011111000
31020001210110010100022221122201
4321111102121033210223320
5231022222243304310130
62252140445514355544
7104053226334630235
oct7125223117445370
91201713110287581
10252151511010040
11733859454305a4
122434479aa2bbb4
13aa90a29871145
14463a2abdda78c
151e2408d27cbca
hexe554993e4af8

252151511010040 has 64 divisors (see below), whose sum is σ = 600922552204800. Its totient is φ = 94894654507008.

The previous prime is 252151511010011. The next prime is 252151511010109. The reversal of 252151511010040 is 40010115151252.

It is a junction number, because it is equal to n+sod(n) for n = 252151511009990 and 252151511010008.

It is a congruent number.

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, 62441559 + ... + 66356998.

It is an arithmetic number, because the mean of its divisors is an integer number (9389414878200).

Almost surely, 2252151511010040 is an apocalyptic number.

252151511010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252151511010040 is an abundant number, since it is smaller than the sum of its proper divisors (348771041194760).

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

252151511010040 is a wasteful number, since it uses less digits than its factorization.

252151511010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128801464 (or 128801460 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 252151511010040 its reverse (40010115151252), we get a palindrome (292161626161292).

The spelling of 252151511010040 in words is "two hundred fifty-two trillion, one hundred fifty-one billion, five hundred eleven million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2879 5758 11516 14395 23032 28790 48943 57580 97886 115160 195772 244715 391544 489430 978860 1957720 128798557 257597114 515194228 643992785 1030388456 1287985570 2189575469 2575971140 4379150938 5151942280 8758301876 10947877345 17516603752 21895754690 43791509380 87583018760 370811045603 741622091206 1483244182412 1854055228015 2966488364824 3708110456030 6303787775251 7416220912060 12607575550502 14832441824120 25215151101004 31518938876255 50430302202008 63037877752510 126075755505020 252151511010040