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353164253244 = 2231119247356941
BaseRepresentation
bin1010010001110100011…
…10101101100000111100
31020202120121211220210120
411020322032231200330
521241240022100434
6430124051334540
734341511423245
oct5107216554074
91222517756716
10353164253244
1112685a017680
1258541bb1450
13273c330251a
1413143bd3ccc
1592bec40349
hex523a3ad83c

353164253244 has 96 divisors (see below), whose sum is σ = 946676693760. Its totient is φ = 101344089600.

The previous prime is 353164253237. The next prime is 353164253383. The reversal of 353164253244 is 442352461353.

It is a junction number, because it is equal to n+sod(n) for n = 353164253196 and 353164253205.

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, 6173814 + ... + 6230754.

It is an arithmetic number, because the mean of its divisors is an integer number (9861215560).

Almost surely, 2353164253244 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 353164253244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473338346880).

353164253244 is an abundant number, since it is smaller than the sum of its proper divisors (593512440516).

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

353164253244 is a wasteful number, since it uses less digits than its factorization.

353164253244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59451 (or 59449 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 353164253244 in words is "three hundred fifty-three billion, one hundred sixty-four million, two hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2473 2508 4946 7419 9892 14838 27203 29676 46987 54406 56941 81609 93974 108812 113882 140961 163218 170823 187948 227764 281922 326436 341646 516857 563844 626351 683292 1033714 1081879 1252702 1550571 1879053 2067428 2163758 2505404 3101142 3245637 3758106 4327516 6202284 6491274 7516212 11900669 12982548 23801338 35702007 47602676 71404014 140815093 142808028 281630186 422445279 563260372 844890558 1548966023 1689781116 2675486767 3097932046 4646898069 5350973534 6195864092 8026460301 9293796138 10701947068 16052920602 18587592276 29430354437 32105841204 58860708874 88291063311 117721417748 176582126622 353164253244