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21358260672 = 263725163313
BaseRepresentation
bin10011111001000011…
…010011000111000000
32001010111100001121120
4103321003103013000
5322220203320142
613451205352240
71354164135360
oct237103230700
961114301546
1021358260672
1190701aa401
124180a08680
132024c00c88
1410688509a0
158501187ec
hex4f90d31c0

21358260672 has 112 divisors (see below), whose sum is σ = 64841640192. Its totient is φ = 6077952000.

The previous prime is 21358260653. The next prime is 21358260697. The reversal of 21358260672 is 27606285312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 305688 + ... + 369000.

It is an arithmetic number, because the mean of its divisors is an integer number (578943216).

Almost surely, 221358260672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21358260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420820096).

21358260672 is an abundant number, since it is smaller than the sum of its proper divisors (43483379520).

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

21358260672 is a wasteful number, since it uses less digits than its factorization.

21358260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63586 (or 63576 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 21358260672 in words is "twenty-one billion, three hundred fifty-eight million, two hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 251 336 448 502 672 753 1004 1344 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 42168 48192 56224 63313 84336 112448 126626 168672 189939 253252 337344 379878 443191 506504 759756 886382 1013008 1329573 1519512 1772764 2026016 2659146 3039024 3545528 4052032 5318292 6078048 7091056 10636584 12156096 14182112 15891563 21273168 28364224 31783126 42546336 47674689 63566252 85092672 95349378 111240941 127132504 190698756 222481882 254265008 333722823 381397512 444963764 508530016 667445646 762795024 889927528 1017060032 1334891292 1525590048 1779855056 2669782584 3051180096 3559710112 5339565168 7119420224 10679130336 21358260672