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2136981312 = 26338631433
BaseRepresentation
bin111111101011111…
…1011111101000000
312111221002220021000
41333113323331000
513334031400222
6552014532000
7103646020134
oct17727737500
95457086230
102136981312
119a72a7764
124b7807000
132809686ab
14163b553c4
15c791e9ac
hex7f5fbf40

2136981312 has 112 divisors (see below), whose sum is σ = 6293998080. Its totient is φ = 711005184.

The previous prime is 2136981293. The next prime is 2136981317. The reversal of 2136981312 is 2131896312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136981317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490548 + ... + 1491980.

Almost surely, 22136981312 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 2136981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146999040).

2136981312 is an abundant number, since it is smaller than the sum of its proper divisors (4157016768).

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

2136981312 is a wasteful number, since it uses less digits than its factorization.

2136981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2301 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2136981312 is about 46227.4951949595. The cubic root of 2136981312 is about 1288.0525292672.

The spelling of 2136981312 in words is "two billion, one hundred thirty-six million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 863 864 1433 1726 1728 2589 2866 3452 4299 5178 5732 6904 7767 8598 10356 11464 12897 13808 15534 17196 20712 22928 23301 25794 27616 31068 34392 38691 41424 45856 46602 51588 55232 62136 68784 77382 82848 91712 93204 103176 124272 137568 154764 165696 186408 206352 248544 275136 309528 372816 412704 497088 619056 745632 825408 1236679 1238112 1491264 2473358 2476224 3710037 4946716 7420074 9893432 11130111 14840148 19786864 22260222 29680296 33390333 39573728 44520444 59360592 66780666 79147456 89040888 118721184 133561332 178081776 237442368 267122664 356163552 534245328 712327104 1068490656 2136981312