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4626006160 = 245791734231
BaseRepresentation
bin1000100111011101…
…10100000010010000
3102221101122110110111
410103232310002100
533433224144120
62043011211104
7222431255266
oct42356640220
912841573414
104626006160
111a64294996
12a912a6a94
13589524469
1431c54a436
151c11cd75a
hex113bb4090

4626006160 has 80 divisors (see below), whose sum is σ = 10957155840. Its totient is φ = 1815989760.

The previous prime is 4626006139. The next prime is 4626006163. The reversal of 4626006160 is 616006264.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4626006163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091245 + ... + 1095475.

It is an arithmetic number, because the mean of its divisors is an integer number (136964448).

Almost surely, 24626006160 is an apocalyptic number.

4626006160 is a gapful number since it is divisible by the number (40) 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 4626006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478577920).

4626006160 is an abundant number, since it is smaller than the sum of its proper divisors (6331149680).

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

4626006160 is a wasteful number, since it uses less digits than its factorization.

4626006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4626006160 is about 68014.7495768381. The cubic root of 4626006160 is about 1666.2317368226.

The spelling of 4626006160 in words is "four billion, six hundred twenty-six million, six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 173 316 346 395 632 692 790 865 1264 1384 1580 1730 2768 3160 3460 4231 6320 6920 8462 13667 13840 16924 21155 27334 33848 42310 54668 67696 68335 84620 109336 136670 169240 218672 273340 334249 338480 546680 668498 731963 1093360 1336996 1463926 1671245 2673992 2927852 3342490 3659815 5347984 5855704 6684980 7319630 11711408 13369960 14639260 26739920 29278520 57825077 58557040 115650154 231300308 289125385 462600616 578250770 925201232 1156501540 2313003080 4626006160