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21275715552 = 2537132187339
BaseRepresentation
bin10011110100001000…
…011010011111100000
32000220202000022222220
4103310020122133200
5322033040344202
613435100231040
71352142412140
oct236410323740
960822008886
1021275715552
11902864aaa3
12415923b480
132010a8c300
14105b8c4920
15847c60abc
hex4f421a7e0

21275715552 has 144 divisors (see below), whose sum is σ = 69114971520. Its totient is φ = 5611147776.

The previous prime is 21275715547. The next prime is 21275715563. The reversal of 21275715552 is 25551757212.

It is a super-2 number, since 2×212757155522 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 19899 + ... + 207237.

It is an arithmetic number, because the mean of its divisors is an integer number (479965080).

Almost surely, 221275715552 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 21275715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557485760).

21275715552 is an abundant number, since it is smaller than the sum of its proper divisors (47839255968).

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

21275715552 is a wasteful number, since it uses less digits than its factorization.

21275715552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187385 (or 187364 counting only the distinct ones).

The product of its digits is 245000, while the sum is 42.

The spelling of 21275715552 in words is "twenty-one billion, two hundred seventy-five million, seven hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 113568 187339 374678 562017 749356 1124034 1311373 1498712 2248068 2435407 2622746 2997424 3934119 4496136 4870814 5245492 5994848 7306221 7868238 8992272 9741628 10490984 14612442 15736476 17047849 17984544 19483256 20981968 29224884 31472952 31660291 34095698 38966512 41963936 51143547 58449768 62945904 63320582 68191396 77933024 94980873 102287094 116899536 125891808 126641164 136382792 189961746 204574188 221622037 233799072 253282328 272765584 379923492 409148376 443244074 506564656 545531168 664866111 759846984 818296752 886488148 1013129312 1329732222 1519693968 1636593504 1772976296 2659464444 3039387936 3545952592 5318928888 7091905184 10637857776 21275715552