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55522439424 = 283249092
BaseRepresentation
bin110011101101011001…
…010011000100000000
312022022110021011100100
4303231121103010000
51402202221030144
641301234322400
74003616643144
oct635531230400
9168273234310
1055522439424
1121601a73581
12a916429400
13530ac0c26a
142989d49224
15169e5e8269
hexced653100

55522439424 has 81 divisors (see below), whose sum is σ = 160117497813. Its totient is φ = 18503709696.

The previous prime is 55522439411. The next prime is 55522439437. The reversal of 55522439424 is 42493422555.

The square root of 55522439424 is 235632.

It is a perfect power (a square), and thus also a powerful number.

55522439424 is a `hidden beast` number, since 5 + 552 + 2 + 4 + 3 + 94 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55522439411) and next prime (55522439437).

It can be written as a sum of positive squares in only one way, i.e., 55116013824 + 406425600 = 234768^2 + 20160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55522439424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11307882 + ... + 11312790.

Almost surely, 255522439424 is an apocalyptic number.

55522439424 is the 235632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55522439424

55522439424 is an abundant number, since it is smaller than the sum of its proper divisors (104595058389).

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

55522439424 is an frugal number, since it uses more digits than its factorization.

55522439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 4914 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 55522439424 in words is "fifty-five billion, five hundred twenty-two million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4909 9818 14727 19636 29454 39272 44181 58908 78544 88362 117816 157088 176724 235632 314176 353448 471264 628352 706896 942528 1256704 1413792 1885056 2827584 3770112 5655168 11310336 24098281 48196562 72294843 96393124 144589686 192786248 216884529 289179372 385572496 433769058 578358744 771144992 867538116 1156717488 1542289984 1735076232 2313434976 3084579968 3470152464 4626869952 6169159936 6940304928 9253739904 13880609856 18507479808 27761219712 55522439424