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21174027072 = 2631129334217
BaseRepresentation
bin10011101110000100…
…100000001101000000
32000122122200000121220
4103232010200031000
5321331022331242
613421024515040
71346466155232
oct235604401500
960578600556
1021174027072
118a86205a30
12412b17ba80
131cc59a7103
14104c1b4252
1583dd75bec
hex4ee120340

21174027072 has 112 divisors (see below), whose sum is σ = 61326320832. Its totient is φ = 6394286080.

The previous prime is 21174027067. The next prime is 21174027107. The reversal of 21174027072 is 27072047112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601708 + ... + 635924.

It is an arithmetic number, because the mean of its divisors is an integer number (547556436).

Almost surely, 221174027072 is an apocalyptic number.

21174027072 is a gapful number since it is divisible by the number (22) 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 21174027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663160416).

21174027072 is an abundant number, since it is smaller than the sum of its proper divisors (40152293760).

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

21174027072 is a wasteful number, since it uses less digits than its factorization.

21174027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34536 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 21174027072 in words is "twenty-one billion, one hundred seventy-four million, twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 293 352 528 586 704 879 1056 1172 1758 2112 2344 3223 3516 4688 6446 7032 9376 9669 12892 14064 18752 19338 25784 28128 34217 38676 51568 56256 68434 77352 102651 103136 136868 154704 205302 206272 273736 309408 376387 410604 547472 618816 752774 821208 1094944 1129161 1505548 1642416 2189888 2258322 3011096 3284832 4516644 6022192 6569664 9033288 10025581 12044384 18066576 20051162 24088768 30076743 36133152 40102324 60153486 72266304 80204648 110281391 120306972 160409296 220562782 240613944 320818592 330844173 441125564 481227888 641637184 661688346 882251128 962455776 1323376692 1764502256 1924911552 2646753384 3529004512 5293506768 7058009024 10587013536 21174027072