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21154510222056 = 2332974517670577
BaseRepresentation
bin1001100111101011010110…
…00100010011001011101000
32202220100111012010110112200
410303311223010103023220
510233043414104101211
6112554125310540200
74312235325005421
oct463655304231350
982810435113480
1021154510222056
116816639583722
122457a76807660
13ba5b28374173
14531c53062648
1526a426138b56
hex133d6b1132e8

21154510222056 has 96 divisors (see below), whose sum is σ = 57897020530440. Its totient is φ = 6977252081664.

The previous prime is 21154510222031. The next prime is 21154510222061. The reversal of 21154510222056 is 65022201545112.

21154510222056 is a `hidden beast` number, since 2 + 1 + 1 + 54 + 510 + 22 + 20 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9414526256100 + 11739983965956 = 3068310^2 + 3426366^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 21154510222056.

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, 31211440 + ... + 31882016.

Almost surely, 221154510222056 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 21154510222056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28948510265220).

21154510222056 is an abundant number, since it is smaller than the sum of its proper divisors (36742510308384).

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

21154510222056 is a wasteful number, since it uses less digits than its factorization.

21154510222056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675203 (or 675196 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 21154510222056 its reverse (65022201545112), we get a palindrome (86176711767168).

The spelling of 21154510222056 in words is "twenty-one trillion, one hundred fifty-four billion, five hundred ten million, two hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 4517 6984 9034 13551 18068 27102 36136 40653 54204 81306 108408 162612 325224 438149 670577 876298 1314447 1341154 1752596 2011731 2628894 2682308 3505192 3943341 4023462 5257788 5364616 6035193 7886682 8046924 10515576 12070386 15773364 16093848 24140772 31546728 48281544 65045969 130091938 195137907 260183876 390275814 520367752 585413721 780551628 1170827442 1561103256 2341654884 3028996309 4683309768 6057992618 9086988927 12115985236 18173977854 24231970472 27260966781 36347955708 54521933562 72695911416 109043867124 218087734248 293812641973 587625283946 881437925919 1175250567892 1762875851838 2350501135784 2644313777757 3525751703676 5288627555514 7051503407352 10577255111028 21154510222056