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553116335238 = 233172519412551
BaseRepresentation
bin10000000110010000100…
…11010111110010000110
31221212200121222010011000
420003020103113302012
533030240240211423
61102033110354130
754650511163515
oct10031023276206
91855617863130
10553116335238
111a363682a315
128b24565b946
134020a714b3c
141cab17a067c
15e5c3d9b843
hex80c84d7c86

553116335238 has 128 divisors (see below), whose sum is σ = 1308536570880. Its totient is φ = 172584000000.

The previous prime is 553116335209. The next prime is 553116335267. The reversal of 553116335238 is 832533611355.

553116335238 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 1 + 633 + 5 + 2 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (553116335209) and next prime (553116335267).

It is a junction number, because it is equal to n+sod(n) for n = 553116335193 and 553116335202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216822063 + ... + 216824613.

It is an arithmetic number, because the mean of its divisors is an integer number (10222941960).

Almost surely, 2553116335238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553116335238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654268285440).

553116335238 is an abundant number, since it is smaller than the sum of its proper divisors (755420235642).

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

553116335238 is a wasteful number, since it uses less digits than its factorization.

553116335238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3765 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 553116335238 in words is "five hundred fifty-three billion, one hundred sixteen million, three hundred thirty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 251 306 459 502 753 918 941 1506 1882 2259 2551 2823 4267 4518 5102 5646 6777 7653 8469 8534 12801 13554 15306 15997 16938 22959 25407 25602 31994 38403 43367 45918 47991 50814 68877 76806 86734 95982 115209 130101 137754 143973 230418 236191 260202 287946 390303 431919 472382 640301 708573 780606 863838 1170909 1280602 1417146 1920903 2125719 2341818 2400491 3841806 4015247 4251438 4800982 5762709 6377157 7201473 8030494 10885117 11525418 12045741 12754314 14402946 17288127 21604419 21770234 24091482 32655351 34576254 36137223 40808347 43208838 64813257 65310702 72274446 81616694 97966053 108411669 122425041 129626514 195932106 216823338 244850082 293898159 367275123 587796318 602523241 734550246 1101825369 1205046482 1807569723 2203650738 3615139446 5422709169 10242895097 10845418338 16268127507 20485790194 30728685291 32536255014 61457370582 92186055873 184372111746 276558167619 553116335238