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155200412160 = 293256736129
BaseRepresentation
bin1001000010001010101…
…0100101101000000000
3112211121011221211020100
42100202222211220000
510020322301142120
6155144215242400
714133003510513
oct2204252455000
9484534854210
10155200412160
115a90264a842
12260b4379400
1311834aaab11
147724300d7a
154085422490
hex2422aa5a00

155200412160 has 120 divisors (see below), whose sum is σ = 537502757220. Its totient is φ = 41386770432.

The previous prime is 155200412099. The next prime is 155200412197. The reversal of 155200412160 is 61214002551.

155200412160 is a `hidden beast` number, since 15 + 520 + 0 + 4 + 121 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146609346816 + 8591065344 = 382896^2 + 92688^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3345025 + ... + 3391104.

Almost surely, 2155200412160 is an apocalyptic number.

155200412160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155200412160 is an abundant number, since it is smaller than the sum of its proper divisors (382302345060).

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

155200412160 is an equidigital number, since it uses as much as digits as its factorization.

155200412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736158 (or 6736139 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 155200412160 in words is "one hundred fifty-five billion, two hundred million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 6736129 13472258 20208387 26944516 33680645 40416774 53889032 60625161 67361290 80833548 101041935 107778064 121250322 134722580 161667096 202083870 215556128 242500644 269445160 303125805 323334192 404167740 431112256 485001288 538890320 606251610 646668384 808335480 862224512 970002576 1077780640 1212503220 1293336768 1616670960 1724449024 1940005152 2155561280 2425006440 2586673536 3233341920 3448898048 3880010304 4311122560 4850012880 5173347072 6466683840 7760020608 8622245120 9700025760 10346694144 12933367680 15520041216 17244490240 19400051520 25866735360 31040082432 38800103040 51733470720 77600206080 155200412160