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4415741764 = 227378389577
BaseRepresentation
bin1000001110011001…
…01101111101000100
3102101201222220221021
410013030231331010
533020412214024
62010100400524
7214266120460
oct40714557504
912351886837
104415741764
111966631165
12a329a6144
13554ab5165
142dc6554a0
151ac9e7de4
hex10732df44

4415741764 has 96 divisors (see below), whose sum is σ = 9298679040. Its totient is φ = 1795571712.

The previous prime is 4415741747. The next prime is 4415741777. The reversal of 4415741764 is 4671475144.

It is a self number, because there is not a number n which added to its sum of digits gives 4415741764.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7652644 + ... + 7653220.

It is an arithmetic number, because the mean of its divisors is an integer number (96861240).

Almost surely, 24415741764 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 4415741764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649339520).

4415741764 is an abundant number, since it is smaller than the sum of its proper divisors (4882937276).

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

4415741764 is a wasteful number, since it uses less digits than its factorization.

4415741764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 4415741764 is about 66451.0478773661. The cubic root of 4415741764 is about 1640.5943914273.

The spelling of 4415741764 in words is "four billion, four hundred fifteen million, seven hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 74 83 89 148 166 178 259 332 356 518 577 581 623 1036 1154 1162 1246 2308 2324 2492 3071 3293 4039 6142 6586 7387 8078 12284 13172 14774 16156 21349 21497 23051 29548 42698 42994 46102 47891 51353 51709 85396 85988 92204 95782 102706 103418 149443 191564 205412 206836 273319 298886 335237 359471 546638 597772 670474 718942 1093276 1340948 1437884 1771967 1900061 1913233 3543934 3800122 3826466 4262299 7087868 7600244 7652932 8524598 12403769 13300427 17049196 24807538 26600854 29836093 49615076 53201708 59672186 119344372 157705063 315410126 630820252 1103935441 2207870882 4415741764