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21416661552 = 24311132240011
BaseRepresentation
bin10011111100100010…
…000101001000110000
32001021120020010120010
4103330202011020300
5322330131132202
613501053214520
71355503422336
oct237442051060
961246203503
1021416661552
1190a01688a0
124198491440
13203403b100
1410724d3b56
1585530276c
hex4fc885230

21416661552 has 120 divisors (see below), whose sum is σ = 65356227648. Its totient is φ = 5990649600.

The previous prime is 21416661551. The next prime is 21416661587. The reversal of 21416661552 is 25516661412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 21416661552.

It is not an unprimeable number, because it can be changed into a prime (21416661551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30774 + ... + 209237.

Almost surely, 221416661552 is an apocalyptic number.

21416661552 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 21416661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678113824).

21416661552 is an abundant number, since it is smaller than the sum of its proper divisors (43939566096).

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

21416661552 is a wasteful number, since it uses less digits than its factorization.

21416661552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240059 (or 240040 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The spelling of 21416661552 in words is "twenty-one billion, four hundred sixteen million, six hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1716 1859 2028 2288 2704 3432 3718 4056 5577 6864 7436 8112 11154 14872 22308 29744 44616 89232 240011 480022 720033 960044 1440066 1920088 2640121 2880132 3120143 3840176 5280242 5760264 6240286 7920363 9360429 10560484 11520528 12480572 15840726 18720858 21120968 24961144 31681452 34321573 37441716 40561859 42241936 49922288 63362904 68643146 74883432 81123718 102964719 121685577 126725808 137286292 149766864 162247436 205929438 243371154 274572584 324494872 411858876 446180449 486742308 549145168 648989744 823717752 892360898 973484616 1338541347 1647435504 1784721796 1946969232 2677082694 3569443592 5354165388 7138887184 10708330776 21416661552