Search a number
-
+
36906403130496 = 273329093670999
BaseRepresentation
bin10000110010000111100010…
…00011000110110010000000
311211200012212200122010101000
420121003301003012302000
514314133303200133441
6210254322331012000
710526254034400024
oct1031036103066200
9154605780563330
1036906403130496
1110839a10467a89
12418085b89a000
1317793499c0353
149183cab0c384
154400484a72b6
hex2190f10c6c80

36906403130496 has 128 divisors (see below), whose sum is σ = 108962622000000. Its totient is φ = 12297902035968.

The previous prime is 36906403130461. The next prime is 36906403130537. The reversal of 36906403130496 is 69403130460963.

36906403130496 is a `hidden beast` number, since 3 + 6 + 90 + 6 + 4 + 0 + 31 + 30 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8218005 + ... + 11889003.

It is an arithmetic number, because the mean of its divisors is an integer number (851270484375).

Almost surely, 236906403130496 is an apocalyptic number.

36906403130496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36906403130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54481311000000).

36906403130496 is an abundant number, since it is smaller than the sum of its proper divisors (72056218869504).

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

36906403130496 is a wasteful number, since it uses less digits than its factorization.

36906403130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673931 (or 3673913 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 36906403130496 in words is "thirty-six trillion, nine hundred six billion, four hundred three million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2909 3456 5818 8727 11636 17454 23272 26181 34908 46544 52362 69816 78543 93088 104724 139632 157086 186176 209448 279264 314172 372352 418896 558528 628344 837792 1117056 1256688 1675584 2513376 3351168 3670999 5026752 7341998 10053504 11012997 14683996 22025994 29367992 33038991 44051988 58735984 66077982 88103976 99116973 117471968 132155964 176207952 198233946 234943936 264311928 352415904 396467892 469887872 528623856 704831808 792935784 1057247712 1409663616 1585871568 2114495424 3171743136 4228990848 6343486272 10678936091 12686972544 21357872182 32036808273 42715744364 64073616546 85431488728 96110424819 128147233092 170862977456 192220849638 256294466184 288331274457 341725954912 384441699276 512588932368 576662548914 683451909824 768883398552 1025177864736 1153325097828 1366903819648 1537766797104 2050355729472 2306650195656 3075533594208 4100711458944 4613300391312 6151067188416 9226600782624 12302134376832 18453201565248 36906403130496