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53607993156 = 22341926772
BaseRepresentation
bin110001111011010010…
…010000111101000100
312010101000220012210000
4301323102100331010
51334242121240111
640343245201300
73605312265144
oct617322207504
9163330805700
1053607993156
112080a350783
12a481260230
1350943bb113
1428479a0924
1515db4d4c56
hexc7b490f44

53607993156 has 135 divisors (see below), whose sum is σ = 148124771949. Its totient is φ = 16903834272.

The previous prime is 53607993121. The next prime is 53607993169. The reversal of 53607993156 is 65139970635.

The square root of 53607993156 is 231534.

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

53607993156 is a `hidden beast` number, since 536 + 0 + 7 + 9 + 93 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53291722500 + 316270656 = 230850^2 + 17784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 79184290 + ... + 79184966.

Almost surely, 253607993156 is an apocalyptic number.

53607993156 is the 231534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53607993156

53607993156 is an abundant number, since it is smaller than the sum of its proper divisors (94516778793).

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

53607993156 is an equidigital number, since it uses as much as digits as its factorization.

53607993156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 53607993156 in words is "fifty-three billion, six hundred seven million, nine hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 677 684 722 1026 1083 1354 1444 1539 2031 2052 2166 2708 3078 3249 4062 4332 6093 6156 6498 8124 9747 12186 12863 12996 18279 19494 24372 25726 29241 36558 38589 38988 51452 54837 58482 73116 77178 109674 115767 116964 154356 219348 231534 244397 347301 458329 463068 488794 694602 733191 916658 977588 1041903 1374987 1389204 1466382 1833316 2083806 2199573 2749974 2932764 4124961 4167612 4399146 5499948 6598719 8249922 8708251 8798292 12374883 13197438 16499844 17416502 19796157 24749766 26124753 26394876 34833004 37124649 39592314 49499532 52249506 74249298 78374259 79184628 104499012 148498596 156748518 165456769 235122777 313497036 330913538 470245554 496370307 661827076 705368331 940491108 992740614 1410736662 1489110921 1985481228 2821473324 2978221842 4467332763 5956443684 8934665526 13401998289 17869331052 26803996578 53607993156