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252551326050990 = 232547173345114481
BaseRepresentation
bin111001011011000110110000…
…000100111010101010101110
31020010012200010010212102112100
4321123012300010322222232
5231100300103432112430
62253044251050315530
7104124142202460111
oct7133066004725256
91203180103772470
10252551326050990
117351a46361347a
12243aa180128ba6
13aabc645a90355
1446517997b4578
151e2e68d7dd960
hexe5b1b013aaae

252551326050990 has 96 divisors (see below), whose sum is σ = 674480699957376. Its totient is φ = 65533098378240.

The previous prime is 252551326050937. The next prime is 252551326051051. The reversal of 252551326050990 is 99050623155252.

It is a happy number.

252551326050990 is a `hidden beast` number, since 2 + 5 + 2 + 551 + 32 + 6 + 0 + 50 + 9 + 9 + 0 = 666.

252551326050990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2525513260509902 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171825451 + ... + 173289030.

It is an arithmetic number, because the mean of its divisors is an integer number (7025840624556).

Almost surely, 2252551326050990 is an apocalyptic number.

252551326050990 is an abundant number, since it is smaller than the sum of its proper divisors (421929373906386).

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

252551326050990 is a wasteful number, since it uses less digits than its factorization.

252551326050990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345114714 (or 345114711 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 252551326050990 in words is "two hundred fifty-two trillion, five hundred fifty-one billion, three hundred twenty-six million, fifty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 173 235 282 346 423 470 519 705 846 865 1038 1410 1557 1730 2115 2595 3114 4230 5190 7785 8131 15570 16262 24393 40655 48786 73179 81310 121965 146358 243930 365895 731790 345114481 690228962 1035343443 1725572405 2070686886 3106030329 3451144810 5176717215 6212060658 10353434430 15530151645 16220380607 31060303290 32440761214 48661141821 59704805213 81101903035 97322283642 119409610426 145983425463 162203806070 179114415639 243305709105 291966850926 298524026065 358228831278 486611418210 537343246917 597048052130 729917127315 895572078195 1074686493834 1459834254630 1791144156390 2686716234585 2806125845011 5373432469170 5612251690022 8418377535033 14030629225055 16836755070066 25255132605099 28061258450110 42091887675165 50510265210198 84183775350330 126275663025495 252551326050990