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2024655793216 = 2672254092
BaseRepresentation
bin11101011101100110111…
…000111010110001000000
321011112222202001220211121
4131131212320322301000
5231132443340340331
64150040344122024
7266163600201100
oct35354670726100
97145882056747
102024655793216
1171071945a1a1
12288485166314
13118c02692524
146ddcb237200
15379ec85cc11
hex1d766e3ac40

2024655793216 has 63 divisors (see below), whose sum is σ = 4673807440149. Its totient is φ = 867675475968.

The previous prime is 2024655793187. The next prime is 2024655793243. The reversal of 2024655793216 is 6123975564202.

The square root of 2024655793216 is 1422904.

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

It can be written as a sum of positive squares in only one way, i.e., 169829706816 + 1854826086400 = 412104^2 + 1361920^2 .

It is a super-2 number, since 2×20246557932162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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, 79669920 + ... + 79695328.

Almost surely, 22024655793216 is an apocalyptic number.

2024655793216 is the 1422904-th square number.

It is an amenable number.

2024655793216 is an abundant number, since it is smaller than the sum of its proper divisors (2649151646933).

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

2024655793216 is an frugal number, since it uses more digits than its factorization.

2024655793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50844 (or 25418 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 2024655793216 in words is "two trillion, twenty-four billion, six hundred fifty-five million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 25409 50818 101636 177863 203272 355726 406544 711452 813088 1245041 1422904 1626176 2490082 2845808 4980164 5691616 9960328 11383232 19920656 39841312 79682624 645617281 1291234562 2582469124 4519320967 5164938248 9038641934 10329876496 18077283868 20659752992 31635246769 36154567736 41319505984 63270493538 72309135472 126540987076 144618270944 253081974152 289236541888 506163948304 1012327896608 2024655793216