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2642996064 = 253196012411
BaseRepresentation
bin1001110110001000…
…1110101101100000
320211012021010000010
42131202032231200
520403101333224
61114132324520
7122332044612
oct23542165540
96735233003
102642996064
1111369a2075
12619173740
133317483c7
141b1034db2
15107074e29
hex9d88eb60

2642996064 has 96 divisors (see below), whose sum is σ = 7318200960. Its totient is φ = 832896000.

The previous prime is 2642996053. The next prime is 2642996077. The reversal of 2642996064 is 4606992462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095019 + ... + 1097429.

It is an arithmetic number, because the mean of its divisors is an integer number (76231260).

Almost surely, 22642996064 is an apocalyptic number.

2642996064 is a gapful number since it is divisible by the number (24) 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 2642996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659100480).

2642996064 is an abundant number, since it is smaller than the sum of its proper divisors (4675204896).

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

2642996064 is a wasteful number, since it uses less digits than its factorization.

2642996064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 2642996064 is about 51410.0774556896. The cubic root of 2642996064 is about 1382.6072784022.

The spelling of 2642996064 in words is "two billion, six hundred forty-two million, nine hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 601 608 912 1202 1803 1824 2404 2411 3606 4808 4822 7212 7233 9616 9644 11419 14424 14466 19232 19288 22838 28848 28932 34257 38576 45676 45809 57696 57864 68514 77152 91352 91618 115728 137028 137427 182704 183236 231456 274056 274854 365408 366472 548112 549708 732944 1096224 1099416 1449011 1465888 2198832 2898022 4347033 4397664 5796044 8694066 11592088 17388132 23184176 27531209 34776264 46368352 55062418 69552528 82593627 110124836 139105056 165187254 220249672 330374508 440499344 660749016 880998688 1321498032 2642996064