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53719337680 = 24517611314943
BaseRepresentation
bin110010000001111011…
…000000101011010000
312010122210102002202021
4302001323000223100
51340004122301210
640402303501224
73611133556561
oct620173005320
9163583362667
1053719337680
1120867190548
12a4b25b7814
1350b14a4458
1428586a6168
1515e617abda
hexc81ec0ad0

53719337680 has 160 divisors (see below), whose sum is σ = 135465758208. Its totient is φ = 19736371200.

The previous prime is 53719337669. The next prime is 53719337723. The reversal of 53719337680 is 8673391735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10865289 + ... + 10870231.

Almost surely, 253719337680 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 53719337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67732879104).

53719337680 is an abundant number, since it is smaller than the sum of its proper divisors (81746420528).

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

53719337680 is a wasteful number, since it uses less digits than its factorization.

53719337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 53719337680 in words is "fifty-three billion, seven hundred nineteen million, three hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 131 136 170 244 262 272 305 340 488 524 610 655 680 976 1037 1048 1220 1310 1360 2074 2096 2227 2440 2620 4148 4454 4880 4943 5185 5240 7991 8296 8908 9886 10370 10480 11135 15982 16592 17816 19772 20740 22270 24715 31964 35632 39544 39955 41480 44540 49430 63928 79088 79910 82960 84031 89080 98860 127856 135847 159820 168062 178160 197720 271694 301523 319640 336124 395440 420155 543388 603046 639280 647533 672248 679235 840310 1086776 1206092 1295066 1344496 1358470 1507615 1680620 2173552 2412184 2590132 2716940 3015230 3237665 3361240 4824368 5125891 5180264 5433880 6030460 6475330 6722480 10251782 10360528 10867760 11008061 12060920 12950660 20503564 22016122 24121840 25629455 25901320 39499513 41007128 44032244 51258910 51802640 55040305 78999026 82014256 88064488 102517820 110080610 157998052 176128976 197497565 205035640 220161220 315996104 394995130 410071280 440322440 631992208 671491721 789990260 880644880 1342983442 1579980520 2685966884 3159961040 3357458605 5371933768 6714917210 10743867536 13429834420 26859668840 53719337680