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4106764816 = 2471123144931
BaseRepresentation
bin1111010011001000…
…0100001000010000
3101121012121021020121
43310302010020100
531402312433231
61515302120024
7203524632160
oct36462041020
911535537217
104106764816
111818186210
12967420014
13505a9336b
142ad5c65a0
15190814311
hexf4c84210

4106764816 has 80 divisors (see below), whose sum is σ = 10351623168. Its totient is φ = 1530460800.

The previous prime is 4106764813. The next prime is 4106764819. The reversal of 4106764816 is 6184676014.

It is an interprime number because it is at equal distance from previous prime (4106764813) and next prime (4106764819).

It is not an unprimeable number, because it can be changed into a prime (4106764813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44130 + ... + 100801.

Almost surely, 24106764816 is an apocalyptic number.

4106764816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4106764816 is an abundant number, since it is smaller than the sum of its proper divisors (6244858352).

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

4106764816 is a wasteful number, since it uses less digits than its factorization.

4106764816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144980 (or 144974 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 4106764816 is about 64084.0449409992. The cubic root of 4106764816 is about 1601.4004426177.

The spelling of 4106764816 in words is "four billion, one hundred six million, seven hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1771 2024 2576 3542 4048 7084 14168 28336 144931 289862 579724 1014517 1159448 1594241 2029034 2318896 3188482 3333413 4058068 6376964 6666826 8116136 11159687 12753928 13333652 16232272 22319374 23333891 25507856 26667304 36667543 44638748 46667782 53334608 73335086 89277496 93335564 146670172 178554992 186671128 256672801 293340344 373342256 513345602 586680688 1026691204 2053382408 4106764816