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149747444877888 = 2633111310127721661
BaseRepresentation
bin100010000011000111001011…
…010000100000101001000000
3201122012201022220110021201000
4202003013023100200221000
5124111430231342043023
61250253005415212000
743353616165505124
oct4203071320405100
9648181286407630
10149747444877888
11437945977a8a50
1214966084377000
13657317b31ac60
1428d9b5a529584
15124a41c14c243
hex8831cb420a40

149747444877888 has 896 divisors, whose sum is σ = 524223533191680. Its totient is φ = 41321041920000.

The previous prime is 149747444877871. The next prime is 149747444877889. The reversal of 149747444877888 is 888778444747941.

149747444877888 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 4 + 7 + 44 + 487 + 7 + 8 + 88 = 666.

It is a super-2 number, since 2×1497474448778882 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149747444877798 and 149747444877807.

It is not an unprimeable number, because it can be changed into a prime (149747444877889) 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, 6913217778 + ... + 6913239438.

It is an arithmetic number, because the mean of its divisors is an integer number (585070907580).

Almost surely, 2149747444877888 is an apocalyptic number.

149747444877888 is a gapful number since it is divisible by the number (18) 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 149747444877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262111766595840).

149747444877888 is an abundant number, since it is smaller than the sum of its proper divisors (374476088313792).

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

149747444877888 is a wasteful number, since it uses less digits than its factorization.

149747444877888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22084 (or 22068 counting only the distinct ones).

The product of its digits is 90634715136, while the sum is 90.

The spelling of 149747444877888 in words is "one hundred forty-nine trillion, seven hundred forty-seven billion, four hundred forty-four million, eight hundred seventy-seven thousand, eight hundred eighty-eight".