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155254312704 = 2831983128189
BaseRepresentation
bin1001000010010111100…
…0001100111100000000
3112211201221101020212210
42100211320030330000
510020430101001304
6155153422422120
714134226612121
oct2204570147400
9484657336783
10155254312704
115a930015047
122610a431940
131184300072a
14772b532048
15408a01cc89
hex2425e0cf00

155254312704 has 144 divisors (see below), whose sum is σ = 440194204800. Its totient is φ = 48436604928.

The previous prime is 155254312667. The next prime is 155254312709. The reversal of 155254312704 is 407213452551.

It is a super-2 number, since 2×1552543127042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155254312709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147042 + ... + 1275230.

It is an arithmetic number, because the mean of its divisors is an integer number (3056904200).

Almost surely, 2155254312704 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 155254312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220097102400).

155254312704 is an abundant number, since it is smaller than the sum of its proper divisors (284939892096).

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

155254312704 is a wasteful number, since it uses less digits than its factorization.

155254312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128310 (or 128296 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 155254312704 in words is "one hundred fifty-five billion, two hundred fifty-four million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 192 228 249 256 304 332 384 456 498 608 664 768 912 996 1216 1328 1577 1824 1992 2432 2656 3154 3648 3984 4731 4864 5312 6308 7296 7968 9462 10624 12616 14592 15936 18924 21248 25232 31872 37848 50464 63744 75696 100928 128189 151392 201856 256378 302784 384567 403712 512756 605568 769134 1025512 1211136 1538268 2051024 2435591 3076536 4102048 4871182 6153072 7306773 8204096 9742364 10639687 12306144 14613546 16408192 19484728 21279374 24612288 29227092 31919061 32816384 38969456 42558748 49224576 58454184 63838122 77938912 85117496 98449152 116908368 127676244 155877824 170234992 202154053 233816736 255352488 311755648 340469984 404308106 467633472 510704976 606462159 623511296 680939968 808616212 935266944 1021409952 1212924318 1361879936 1617232424 1870533888 2042819904 2425848636 2723759872 3234464848 4085639808 4851697272 6468929696 8171279616 9703394544 12937859392 19406789088 25875718784 38813578176 51751437568 77627156352 155254312704