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155201177104 = 2431213817309
BaseRepresentation
bin1001000010001010110…
…1100000011000010000
3112211121020101200112121
42100202231200120100
510020323000131404
6155144243504024
714133013144621
oct2204255403020
9484536350477
10155201177104
115a903022526
12260b4688014
1311834cb804c
14772445da48
154085523e54
hex2422b60610

155201177104 has 60 divisors (see below), whose sum is σ = 310982794860. Its totient is φ = 75032697600.

The previous prime is 155201177077. The next prime is 155201177123. The reversal of 155201177104 is 401771102551.

It can be written as a sum of positive squares in 2 ways, for example, as 69563007504 + 85638169600 = 263748^2 + 292640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155201177104.

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, 21230602 + ... + 21237910.

It is an arithmetic number, because the mean of its divisors is an integer number (5183046581).

Almost surely, 2155201177104 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 155201177104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155491397430).

155201177104 is an abundant number, since it is smaller than the sum of its proper divisors (155781617756).

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

155201177104 is a wasteful number, since it uses less digits than its factorization.

155201177104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 34.

Adding to 155201177104 its reverse (401771102551), we get a palindrome (556972279655).

The spelling of 155201177104 in words is "one hundred fifty-five billion, two hundred one million, one hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1381 1922 2762 3844 5524 7309 7688 11048 14618 15376 22096 29236 42811 58472 85622 116944 171244 226579 342488 453158 684976 906316 1327141 1812632 2654282 3625264 5308564 7023949 10093729 10617128 14047898 20187458 21234256 28095796 40374916 56191592 80749832 112383184 161499664 312905599 625811198 1251622396 2503244792 5006489584 9700073569 19400147138 38800294276 77600588552 155201177104