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53365364304 = 24372936714923
BaseRepresentation
bin110001101100110100…
…101101011001010000
312002202010100101120020
4301230310231121100
51333243013124204
640303220543440
73566305053330
oct615464553120
9162663311506
1053365364304
11206a53a206a
12a413b51b80
135056059855
1428236830c0
1515c5059bd9
hexc6cd2d650

53365364304 has 160 divisors (see below), whose sum is σ = 163442872320. Its totient is φ = 14680382976.

The previous prime is 53365364233. The next prime is 53365364329. The reversal of 53365364304 is 40346356335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3568587 + ... + 3583509.

It is an arithmetic number, because the mean of its divisors is an integer number (1021517952).

Almost surely, 253365364304 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 53365364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81721436160).

53365364304 is an abundant number, since it is smaller than the sum of its proper divisors (110077508016).

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

53365364304 is a wasteful number, since it uses less digits than its factorization.

53365364304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 53365364304 in words is "fifty-three billion, three hundred sixty-five million, three hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 367 406 464 609 696 734 812 1101 1218 1392 1468 1624 2202 2436 2569 2936 3248 4404 4872 5138 5872 7707 8808 9744 10276 10643 14923 15414 17616 20552 21286 29846 30828 31929 41104 42572 44769 59692 61656 63858 74501 85144 89538 104461 119384 123312 127716 149002 170288 179076 208922 223503 238768 255432 298004 313383 358152 417844 432767 447006 510864 596008 626766 716304 835688 865534 894012 1192016 1253532 1298301 1671376 1731068 1788024 2507064 2596602 3029369 3462136 3576048 5014128 5193204 5476741 6058738 6924272 9088107 10386408 10953482 12117476 16430223 18176214 20772816 21906964 24234952 32860446 36352428 38337187 43813928 48469904 65720892 72704856 76674374 87627856 115011561 131441784 145409712 153348748 158825489 230023122 262883568 306697496 317650978 460046244 476476467 613394992 635301956 920092488 952952934 1111778423 1270603912 1840184976 1905905868 2223556846 2541207824 3335335269 3811811736 4447113692 6670670538 7623623472 8894227384 13341341076 17788454768 26682682152 53365364304