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149445776255616 = 2733298389972081
BaseRepresentation
bin100001111110101110001110…
…011010000010101010000000
3201121010212200002201110112000
4201332232032122002222000
5124042004422210134431
61245502235233504000
743323046436514501
oct4176561632025200
9647125602643460
10149445776255616
1143688663720085
1214917714112000
1365508a38aabb9
1428c92dd94cba8
1512426632369e6
hex87eb8e682a80

149445776255616 has 1024 divisors, whose sum is σ = 472008720960000. Its totient is φ = 46477376225280.

The previous prime is 149445776255569. The next prime is 149445776255729. The reversal of 149445776255616 is 616552677544941.

149445776255616 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 4 + 5 + 7 + 7 + 62 + 556 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 71814403696 + ... + 71814405776.

Almost surely, 2149445776255616 is an apocalyptic number.

149445776255616 is a gapful number since it is divisible by the number (16) 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 149445776255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236004360480000).

149445776255616 is an abundant number, since it is smaller than the sum of its proper divisors (322562944704384).

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

149445776255616 is a wasteful number, since it uses less digits than its factorization.

149445776255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2384 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 149445776255616 in words is "one hundred forty-nine trillion, four hundred forty-five billion, seven hundred seventy-six million, two hundred fifty-five thousand, six hundred sixteen".