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36980379648 = 212325571801
BaseRepresentation
bin100010011100001100…
…111101000000000000
310112110020002221002200
4202130030331000000
51101213434122043
624553305513200
72446260016632
oct423414750000
9115406087080
1036980379648
1114757507633
1272007a2800
1336445bb664
141b0b538a52
15e668697d3
hex89c33d000

36980379648 has 156 divisors (see below), whose sum is σ = 107070360228. Its totient is φ = 12297830400.

The previous prime is 36980379641. The next prime is 36980379671. The reversal of 36980379648 is 84697308963.

It can be written as a sum of positive squares in 2 ways, for example, as 3990196224 + 32990183424 = 63168^2 + 181632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36980379641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20532348 + ... + 20534148.

It is an arithmetic number, because the mean of its divisors is an integer number (686348463).

Almost surely, 236980379648 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 36980379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53535180114).

36980379648 is an abundant number, since it is smaller than the sum of its proper divisors (70089980580).

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

36980379648 is a wasteful number, since it uses less digits than its factorization.

36980379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 36980379648 in words is "thirty-six billion, nine hundred eighty million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 557 576 768 1024 1114 1152 1536 1671 1801 2048 2228 2304 3072 3342 3602 4096 4456 4608 5013 5403 6144 6684 7204 8912 9216 10026 10806 12288 13368 14408 16209 17824 18432 20052 21612 26736 28816 32418 35648 36864 40104 43224 53472 57632 64836 71296 80208 86448 106944 115264 129672 142592 160416 172896 213888 230528 259344 285184 320832 345792 427776 461056 518688 570368 641664 691584 855552 922112 1003157 1037376 1140736 1283328 1383168 1711104 1844224 2006314 2074752 2281472 2566656 2766336 3009471 3422208 3688448 4012628 4149504 5133312 5532672 6018942 6844416 7376896 8025256 8299008 9028413 10266624 11065344 12037884 16050512 16598016 18056826 20533248 22130688 24075768 32101024 33196032 36113652 48151536 64202048 66392064 72227304 96303072 128404096 144454608 192606144 256808192 288909216 385212288 513616384 577818432 770424576 1027232768 1155636864 1540849152 2054465536 2311273728 3081698304 4108931072 4622547456 6163396608 9245094912 12326793216 18490189824 36980379648