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16031021472 = 2533173107251
BaseRepresentation
bin11101110111000010…
…11111100110100000
31112101020012021021000
432323201133212200
5230312420141342
611210424232000
71105156301634
oct167341374640
945336167230
1016031021472
116887103784
12313490b600
13168632812b
14ac1128dc4
1563c5c244c
hex3bb85f9a0

16031021472 has 96 divisors (see below), whose sum is σ = 47027856960. Its totient is φ = 5312736000.

The previous prime is 16031021431. The next prime is 16031021483. The reversal of 16031021472 is 27412013061.

16031021472 is a `hidden beast` number, since 1 + 603 + 10 + 2 + 1 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95847 + ... + 203097.

It is an arithmetic number, because the mean of its divisors is an integer number (489873510).

Almost surely, 216031021472 is an apocalyptic number.

16031021472 is a gapful number since it is divisible by the number (12) 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 16031021472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513928480).

16031021472 is an abundant number, since it is smaller than the sum of its proper divisors (30996835488).

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

16031021472 is a wasteful number, since it uses less digits than its factorization.

16031021472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107443 (or 107429 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 16031021472 in words is "sixteen billion, thirty-one million, twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1384 1557 2076 2768 3114 4152 4671 5536 6228 8304 9342 12456 16608 18684 24912 37368 49824 74736 107251 149472 214502 321753 429004 643506 858008 965259 1287012 1716016 1930518 2574024 2895777 3432032 3861036 5148048 5791554 7722072 10296096 11583108 15444144 18554423 23166216 30888288 37108846 46332432 55663269 74217692 92664864 111326538 148435384 166989807 222653076 296870768 333979614 445306152 500969421 593741536 667959228 890612304 1001938842 1335918456 1781224608 2003877684 2671836912 4007755368 5343673824 8015510736 16031021472