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2118873312 = 2532193112491
BaseRepresentation
bin111111001001011…
…0111000011100000
312110200000220202100
41332102313003200
513314412421222
6550130450400
7103336061133
oct17622670340
95420026670
102118873312
11998059976
124b1733a00
13279c984ba
141615a021a
15c60444ac
hex7e4b70e0

2118873312 has 144 divisors (see below), whose sum is σ = 6547806720. Its totient is φ = 647481600.

The previous prime is 2118873311. The next prime is 2118873347. The reversal of 2118873312 is 2133788112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21188733122 = 8979248224611698688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118873311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163387 + ... + 175877.

It is an arithmetic number, because the mean of its divisors is an integer number (45470880).

Almost surely, 22118873312 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 2118873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273903360).

2118873312 is an abundant number, since it is smaller than the sum of its proper divisors (4428933408).

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

2118873312 is a wasteful number, since it uses less digits than its factorization.

2118873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557 (or 12546 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2118873312 is about 46031.2210570174. The cubic root of 2118873312 is about 1284.4040420591.

The spelling of 2118873312 in words is "two billion, one hundred eighteen million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1824 2232 2356 2736 2976 3534 4464 4712 5301 5472 7068 8928 9424 10602 12491 14136 18848 21204 24982 28272 37473 42408 49964 56544 74946 84816 99928 112419 149892 169632 199856 224838 237329 299784 387221 399712 449676 474658 599568 711987 774442 899352 949316 1161663 1199136 1423974 1548884 1798704 1898632 2135961 2323326 2847948 3097768 3484989 3597408 3797264 4271922 4646652 5695896 6195536 6969978 7357199 7594528 8543844 9293304 11391792 12391072 13939956 14714398 17087688 18586608 22071597 22783584 27879912 29428796 34175376 37173216 44143194 55759824 58857592 66214791 68350752 88286388 111519648 117715184 132429582 176572776 235430368 264859164 353145552 529718328 706291104 1059436656 2118873312