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2137447312 = 2471113317421
BaseRepresentation
bin111111101100110…
…1101101110010000
312111221222120111021
41333121231232100
513334141303222
6552032525224
7103653000550
oct17731555620
95457876437
102137447312
119a7595890
124b79b0814
13280a9c830
14163c37160
15c79b2ac7
hex7f66db90

2137447312 has 160 divisors (see below), whose sum is σ = 5591142144. Its totient is φ = 764467200.

The previous prime is 2137447309. The next prime is 2137447321.

2137447312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5076862 + ... + 5077282.

Almost surely, 22137447312 is an apocalyptic number.

2137447312 is a gapful number since it is divisible by the number (22) 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 2137447312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795571072).

2137447312 is an abundant number, since it is smaller than the sum of its proper divisors (3453694832).

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

2137447312 is a wasteful number, since it uses less digits than its factorization.

2137447312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 2137447312 is about 46232.5352106068. The cubic root of 2137447312 is about 1288.1461486874.

It can be divided in two parts, 21374 and 47312, that added together give a palindrome (68686).

The spelling of 2137447312 in words is "two billion, one hundred thirty-seven million, four hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 317 364 421 572 616 634 728 842 1001 1144 1232 1268 1456 1684 2002 2219 2288 2536 2947 3368 3487 4004 4121 4438 4631 5072 5473 5894 6736 6974 8008 8242 8876 9262 10946 11788 13948 16016 16484 17752 18524 21892 23576 24409 27896 28847 32417 32968 35504 37048 38311 43784 45331 47152 48818 55792 57694 60203 64834 65936 74096 76622 87568 90662 97636 115388 120406 129668 133457 153244 181324 195272 230776 240812 259336 266914 306488 317317 362648 390544 421421 461552 481624 518672 533828 612976 634634 725296 842842 934199 963248 1067656 1269268 1468027 1685684 1734941 1868398 2135312 2538536 2936054 3371368 3469882 3736796 5077072 5872108 6742736 6939764 7473592 10276189 11744216 12144587 13879528 14947184 19084351 20552378 23488432 24289174 27759056 38168702 41104756 48578348 76337404 82209512 97156696 133590457 152674808 164419024 194313392 267180914 305349616 534361828 1068723656 2137447312