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2045616912 = 2432194671601
BaseRepresentation
bin111100111101101…
…1010001100010000
312021120012002212100
41321323122030100
513142134220122
6534552400400
7101456312463
oct17173321420
95246162770
102045616912
1195a774299
124910a6100
13267a59711
141559712da
15be8c3aac
hex79eda310

2045616912 has 120 divisors (see below), whose sum is σ = 6042872160. Its totient is φ = 644198400.

The previous prime is 2045616869. The next prime is 2045616949. The reversal of 2045616912 is 2196165402.

2045616912 is a `hidden beast` number, since 2 + 0 + 4 + 561 + 6 + 91 + 2 = 666.

2045616912 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276912 + ... + 1278512.

It is an arithmetic number, because the mean of its divisors is an integer number (50357268).

Almost surely, 22045616912 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 2045616912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021436080).

2045616912 is an abundant number, since it is smaller than the sum of its proper divisors (3997255248).

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

2045616912 is a wasteful number, since it uses less digits than its factorization.

2045616912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2045616912 is about 45228.4966807432. The cubic root of 2045616912 is about 1269.4280831584.

The spelling of 2045616912 in words is "two billion, forty-five million, six hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 467 684 912 934 1368 1401 1601 1868 2736 2802 3202 3736 4203 4803 5604 6404 7472 8406 8873 9606 11208 12808 14409 16812 17746 19212 22416 25616 26619 28818 30419 33624 35492 38424 53238 57636 60838 67248 70984 76848 79857 91257 106476 115272 121676 141968 159714 182514 212952 230544 243352 273771 319428 365028 425904 486704 547542 638856 730056 747667 1095084 1277712 1460112 1495334 2190168 2243001 2990668 4380336 4486002 5981336 6729003 8972004 11962672 13458006 14205673 17944008 26916012 28411346 35888016 42617019 53832024 56822692 85234038 107664048 113645384 127851057 170468076 227290768 255702114 340936152 511404228 681872304 1022808456 2045616912