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153116780544 = 21136731323
BaseRepresentation
bin1000111010011001111…
…0001010100000000000
3112122012222020101000000
42032212132022200000
510002040343434134
6154201344000000
714030243106000
oct2164636124000
9478188211000
10153116780544
1159a33481542
1225812600000
13115922013c0
1475a76b6000
153eb253ee99
hex23a678a800

153116780544 has 1344 divisors, whose sum is σ = 601552224000. Its totient is φ = 38626689024.

The previous prime is 153116780539. The next prime is 153116780563. The reversal of 153116780544 is 445087611351.

153116780544 is a `hidden beast` number, since 1 + 5 + 31 + 1 + 6 + 78 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 153116780544.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6657251317 + ... + 6657251339.

It is an arithmetic number, because the mean of its divisors is an integer number (447583500).

Almost surely, 2153116780544 is an apocalyptic number.

153116780544 is a gapful number since it is divisible by the number (14) 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 153116780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300776112000).

153116780544 is an abundant number, since it is smaller than the sum of its proper divisors (448435443456).

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

153116780544 is an frugal number, since it uses more digits than its factorization.

153116780544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 153116780544 in words is "one hundred fifty-three billion, one hundred sixteen million, seven hundred eighty thousand, five hundred forty-four".