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253353075352 = 23138929393419
BaseRepresentation
bin1110101111110100000…
…1010010001010011000
3220012221121111201210021
43223331001102022120
513122331341402402
6312215551400224
724206216415436
oct3537501221230
9805847451707
10253353075352
11984a022a403
1241127523074
131ab77965350
14c395c85d56
1568cc3a2d37
hex3afd052298

253353075352 has 64 divisors (see below), whose sum is σ = 519097572000. Its totient is φ = 115222508544.

The previous prime is 253353075337. The next prime is 253353075373. The reversal of 253353075352 is 253570353352.

It is a happy number.

It is a super-3 number, since 3×2533530753523 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253353075299 and 253353075308.

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, 2665299 + ... + 2758717.

Almost surely, 2253353075352 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 253353075352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259548786000).

253353075352 is an abundant number, since it is smaller than the sum of its proper divisors (265744496648).

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

253353075352 is a wasteful number, since it uses less digits than its factorization.

253353075352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93820 (or 93816 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 43.

The spelling of 253353075352 in words is "two hundred fifty-three billion, three hundred fifty-three million, seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 293 356 586 712 1157 1172 2314 2344 3809 4628 7618 9256 15236 26077 30472 52154 93419 104308 186838 208616 339001 373676 678002 747352 1214447 1356004 2428894 2712008 4857788 8314291 9715576 16628582 27371767 33257164 54743534 66514328 108085783 109487068 216171566 218974136 355832971 432343132 711665942 864686264 1423331884 2436087263 2846663768 4872174526 9744349052 19488698104 31669134419 63338268838 126676537676 253353075352