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2378387712 = 28315120509
BaseRepresentation
bin1000110111000011…
…0101000100000000
320010202100121120210
42031300311010000
514332331401322
61032001034120
7112636650651
oct21560650400
96122317523
102378387712
1110105a0988
12564625940
132bb98c70c
14187c35528
15ddc0770c
hex8dc35100

2378387712 has 72 divisors (see below), whose sum is σ = 6372210880. Its totient is φ = 787507200.

The previous prime is 2378387651. The next prime is 2378387741. The reversal of 2378387712 is 2177838732.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105714 + ... + 126222.

Almost surely, 22378387712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186105440).

2378387712 is an abundant number, since it is smaller than the sum of its proper divisors (3993823168).

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

2378387712 is a wasteful number, since it uses less digits than its factorization.

2378387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20679 (or 20665 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 2378387712 is about 48768.7165301692. The cubic root of 2378387712 is about 1334.8348932425.

The spelling of 2378387712 in words is "two billion, three hundred seventy-eight million, three hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1208 1812 2416 3624 4832 7248 9664 14496 19328 20509 28992 38656 41018 57984 61527 82036 115968 123054 164072 246108 328144 492216 656288 984432 1312576 1968864 2625152 3096859 3937728 5250304 6193718 7875456 9290577 12387436 15750912 18581154 24774872 37162308 49549744 74324616 99099488 148649232 198198976 297298464 396397952 594596928 792795904 1189193856 2378387712