Search a number
-
+
3255016272480 = 253457317192267
BaseRepresentation
bin101111010111011110000…
…101101011001001100000
3102112011202200101011210000
4233113132011223021200
5411312233131204410
610531200035140000
7454111223544000
oct57273605531140
912464680334700
103255016272480
111045498911765
12446a16444600
131a7c3cc2725b
14b3787a04000
1559a0cb2adc0
hex2f5de16b260

3255016272480 has 1920 divisors, whose sum is σ = 14937664896000. Its totient is φ = 663091494912.

The previous prime is 3255016272479. The next prime is 3255016272493. The reversal of 3255016272480 is 842726105523.

3255016272480 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 0 + 162 + 7 + 2 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1435824307 + ... + 1435826573.

It is an arithmetic number, because the mean of its divisors is an integer number (7780033800).

Almost surely, 23255016272480 is an apocalyptic number.

3255016272480 is a gapful number since it is divisible by the number (30) 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 3255016272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468832448000).

3255016272480 is an abundant number, since it is smaller than the sum of its proper divisors (11682648623520).

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

3255016272480 is a wasteful number, since it uses less digits than its factorization.

3255016272480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3255016272480 in words is "three trillion, two hundred fifty-five billion, sixteen million, two hundred seventy-two thousand, four hundred eighty".