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21670072452 = 22337190715031
BaseRepresentation
bin10100001011101000…
…110001000010000100
32001221020001201222000
4110023220301002010
5323340014304302
613542144505300
71365001401540
oct241350610204
961836051860
1021670072452
119210211196
12424931b230
1320746a61a2
14109801aa20
1586c6ac31c
hex50ba31084

21670072452 has 96 divisors (see below), whose sum is σ = 64245565440. Its totient is φ = 6187790880.

The previous prime is 21670072441. The next prime is 21670072453. The reversal of 21670072452 is 25427007612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21670072453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434177 + ... + 1449207.

It is an arithmetic number, because the mean of its divisors is an integer number (669224640).

Almost surely, 221670072452 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 21670072452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32122782720).

21670072452 is an abundant number, since it is smaller than the sum of its proper divisors (42575492988).

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

21670072452 is a wasteful number, since it uses less digits than its factorization.

21670072452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16958 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21670072452 in words is "twenty-one billion, six hundred seventy million, seventy-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1907 3814 5721 7628 11442 13349 15031 17163 22884 26698 30062 34326 40047 45093 51489 53396 60124 68652 80094 90186 102978 105217 120141 135279 160188 180372 205956 210434 240282 270558 315651 360423 405837 420868 480564 541116 631302 720846 811674 946953 1262604 1441692 1623348 1893906 2840859 3787812 5681718 11363436 28664117 57328234 85992351 114656468 171984702 200648819 257977053 343969404 401297638 515954106 601946457 773931159 802595276 1031908212 1203892914 1547862318 1805839371 2407785828 3095724636 3611678742 5417518113 7223357484 10835036226 21670072452