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155042072640 = 263257131722389
BaseRepresentation
bin1001000001100100111…
…0100100100001000000
3112211012011000100020200
42100121032210201000
510020011232311030
6155120401405200
714126041605330
oct2203116444100
9484164010220
10155042072640
115a831231a34
122606b339800
131180b04c0b0
14770b2850c0
154076596d60
hex24193a4840

155042072640 has 2016 divisors, whose sum is σ = 735713072640. Its totient is φ = 29118431232.

The previous prime is 155042072597. The next prime is 155042072677. The reversal of 155042072640 is 46270240551.

It is a happy number.

155042072640 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 4 + 2 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155042072595 and 155042072604.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1742045716 + ... + 1742045804.

It is an arithmetic number, because the mean of its divisors is an integer number (364937040).

Almost surely, 2155042072640 is an apocalyptic number.

155042072640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155042072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367856536320).

155042072640 is an abundant number, since it is smaller than the sum of its proper divisors (580671000000).

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

155042072640 is a wasteful number, since it uses less digits than its factorization.

155042072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 155042072640 in words is "one hundred fifty-five billion, forty-two million, seventy-two thousand, six hundred forty".