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155248901640 = 23335747601727
BaseRepresentation
bin1001000010010110001…
…1100011111000001000
3112211201120012100022000
42100211203203320020
510020422204323030
6155153110431000
714134132614330
oct2204543437010
9484646170260
10155248901640
115a927a59698
1226108662460
1311841b57811
14772a9240c0
1540897ee860
hex24258e3e08

155248901640 has 512 divisors, whose sum is σ = 605845094400. Its totient is φ = 34624972800.

The previous prime is 155248901603. The next prime is 155248901669. The reversal of 155248901640 is 46109842551.

155248901640 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 489 + 0 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213546957 + ... + 213547683.

It is an arithmetic number, because the mean of its divisors is an integer number (1183291200).

Almost surely, 2155248901640 is an apocalyptic number.

155248901640 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 155248901640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302922547200).

155248901640 is an abundant number, since it is smaller than the sum of its proper divisors (450596192760).

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

155248901640 is a wasteful number, since it uses less digits than its factorization.

155248901640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 155248901640 in words is "one hundred fifty-five billion, two hundred forty-eight million, nine hundred one thousand, six hundred forty".