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4621601664 = 27331337269
BaseRepresentation
bin1000100110111100…
…00000101110000000
3102221002100200122000
410103132000232000
533431112223124
62042332544000
7222345652221
oct42336005600
912832320560
104621601664
111a61856809
12a8b922000
13588641754
1431bb21248
151c0b0d6c9
hex113780b80

4621601664 has 64 divisors (see below), whose sum is σ = 13640154000. Its totient is φ = 1540532736.

The previous prime is 4621601659. The next prime is 4621601681. The reversal of 4621601664 is 4661061264.

4621601664 is a `hidden beast` number, since 46 + 2 + 1 + 601 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665179 + ... + 672090.

Almost surely, 24621601664 is an apocalyptic number.

It is an amenable number.

4621601664 is an abundant number, since it is smaller than the sum of its proper divisors (9018552336).

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

4621601664 is a wasteful number, since it uses less digits than its factorization.

4621601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337292 (or 1337274 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4621601664 is about 67982.3628892083. The cubic root of 4621601664 is about 1665.7027534213.

The spelling of 4621601664 in words is "four billion, six hundred twenty-one million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 1337269 2674538 4011807 5349076 8023614 10698152 12035421 16047228 21396304 24070842 32094456 36106263 42792608 48141684 64188912 72212526 85585216 96283368 128377824 144425052 171170432 192566736 256755648 288850104 385133472 513511296 577700208 770266944 1155400416 1540533888 2310800832 4621601664