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2313089664 = 2737976249
BaseRepresentation
bin1000100111011110…
…1111001010000000
312222012111010111120
42021313233022000
514214122332124
61021305312240
7111214636434
oct21167571200
95865433446
102313089664
11a87751556
12546795680
132ab2a9112
1417d2b89c4
15d8109d79
hex89def280

2313089664 has 64 divisors (see below), whose sum is σ = 6222000000. Its totient is φ = 761260032.

The previous prime is 2313089657. The next prime is 2313089689. The reversal of 2313089664 is 4669803132.

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

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, 7789 + ... + 68460.

It is an arithmetic number, because the mean of its divisors is an integer number (97218750).

Almost surely, 22313089664 is an apocalyptic number.

2313089664 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 2313089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111000000).

2313089664 is an abundant number, since it is smaller than the sum of its proper divisors (3908910336).

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

2313089664 is an equidigital number, since it uses as much as digits as its factorization.

2313089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76345 (or 76333 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2313089664 is about 48094.5907977186. The cubic root of 2313089664 is about 1322.5055075570.

The spelling of 2313089664 in words is "two billion, three hundred thirteen million, eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 76249 152498 228747 304996 457494 609992 914988 1219984 1829976 2439968 3659952 4879936 6023671 7319904 9759872 12047342 14639808 18071013 24094684 29279616 36142026 48189368 72284052 96378736 144568104 192757472 289136208 385514944 578272416 771029888 1156544832 2313089664