Search a number
-
+
155512364280 = 233572132931273
BaseRepresentation
bin1001000011010101000…
…0100101110011111000
3112212101220221122002120
42100311100211303320
510021442131124110
6155235201401240
714143512200100
oct2206520456370
9485356848076
10155512364280
115aa52748009
1226180939220
1311884601b80
147753906200
1540a29e2870
hex2435425cf8

155512364280 has 1152 divisors, whose sum is σ = 633297268800. Its totient is φ = 30238064640.

The previous prime is 155512364191. The next prime is 155512364317. The reversal of 155512364280 is 82463215551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2130306324 + ... + 2130306396.

Almost surely, 2155512364280 is an apocalyptic number.

155512364280 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 155512364280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316648634400).

155512364280 is an abundant number, since it is smaller than the sum of its proper divisors (477784904520).

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

155512364280 is a wasteful number, since it uses less digits than its factorization.

155512364280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 155512364280 in words is "one hundred fifty-five billion, five hundred twelve million, three hundred sixty-four thousand, two hundred eighty".