Search a number
-
+
155603385875520 = 263351113126347521
BaseRepresentation
bin100011011000010100111100…
…100010100111110001000000
3202101221112112111120021101000
4203120110330202213301000
5130343401213241004040
61310535113022012000
744526654646633002
oct4330247442476100
9671845474507330
10155603385875520
1145642030833750
1215550b8b117000
1368a944aba94cb
142a5d35b9b8372
1512ec903d86130
hex8d853c8a7c40

155603385875520 has 896 divisors, whose sum is σ = 605715624898560. Its totient is φ = 37290958848000.

The previous prime is 155603385875473. The next prime is 155603385875527. The reversal of 155603385875520 is 25578583306551.

155603385875520 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 0 + 3 + 38 + 5 + 8 + 75 + 520 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (155603385875527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3274389360 + ... + 3274436880.

Almost surely, 2155603385875520 is an apocalyptic number.

155603385875520 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 155603385875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302857812449280).

155603385875520 is an abundant number, since it is smaller than the sum of its proper divisors (450112239023040).

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

155603385875520 is a wasteful number, since it uses less digits than its factorization.

155603385875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952 (or 47936 counting only the distinct ones).

The product of its (nonzero) digits is 151200000, while the sum is 63.

The spelling of 155603385875520 in words is "one hundred fifty-five trillion, six hundred three billion, three hundred eighty-five million, eight hundred seventy-five thousand, five hundred twenty".