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20241306933156 = 2232277227072
BaseRepresentation
bin1001001101000110010111…
…11010001101011110100100
32122200001100111000210220100
410212203023322031132210
510123113144033330111
6111014421131104100
74156246312064301
oct446431372153644
978601314023810
1020241306933156
1164a432108a521
12232aa988a2030
13b3a99337a09a
144dd9823140a8
152517c9901756
hex1268cbe8d7a4

20241306933156 has 81 divisors (see below), whose sum is σ = 51369882463809. Its totient is φ = 6720261074208.

The previous prime is 20241306933097. The next prime is 20241306933193. The reversal of 20241306933156 is 65133960314202.

The square root of 20241306933156 is 4499034.

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

20241306933156 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 1 + 306 + 9 + 331 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3488788908900 + 16752518024256 = 1867830^2 + 4092984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7477393155 + ... + 7477395861.

Almost surely, 220241306933156 is an apocalyptic number.

20241306933156 is the 4499034-th square number.

It is an amenable number.

20241306933156 is an abundant number, since it is smaller than the sum of its proper divisors (31128575530653).

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

20241306933156 is an frugal number, since it uses more digits than its factorization.

20241306933156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20241306933156 in words is "twenty trillion, two hundred forty-one billion, three hundred six million, nine hundred thirty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 2707 3324 4986 5414 8121 9972 10828 16242 24363 32484 48726 76729 97452 153458 230187 306916 460374 690561 749839 920748 1381122 1499678 2249517 2762244 2999356 4499034 6748551 7327849 8998068 13497102 14655698 21983547 26994204 29311396 43967094 65950641 87934188 131901282 207705403 263802564 415410806 623116209 830821612 1246232418 1869348627 2029814173 2492464836 3738697254 4059628346 6089442519 7477394508 8119256692 12178885038 18268327557 24357770076 36536655114 73073310228 562258525921 1124517051842 1686775577763 2249034103684 3373551155526 5060326733289 6747102311052 10120653466578 20241306933156