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1378005768 = 2332131146099
BaseRepresentation
bin101001000100010…
…1011001100001000
310120000221221112200
41102020223030020
510310232141033
6344423240200
746101566346
oct12210531410
93500857480
101378005768
11647937147
123255a9060
1318c64a739
14d1028996
1580e9d013
hex5222b308

1378005768 has 48 divisors (see below), whose sum is σ = 3760614000. Its totient is φ = 455825760.

The previous prime is 1378005719. The next prime is 1378005773. The reversal of 1378005768 is 8675008731.

1378005768 is a `hidden beast` number, since 1 + 3 + 78 + 0 + 0 + 576 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 63618 + ... + 82481.

It is an arithmetic number, because the mean of its divisors is an integer number (78346125).

Almost surely, 21378005768 is an apocalyptic number.

1378005768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1378005768 is an abundant number, since it is smaller than the sum of its proper divisors (2382608232).

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

1378005768 is a wasteful number, since it uses less digits than its factorization.

1378005768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146242 (or 146235 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1378005768 is about 37121.5000774484. The cubic root of 1378005768 is about 1112.7997305088.

The spelling of 1378005768 in words is "one billion, three hundred seventy-eight million, five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 146099 292198 438297 584396 876594 1168792 1314891 1753188 2629782 3506376 5259564 10519128 19138969 38277938 57416907 76555876 114833814 153111752 172250721 229667628 344501442 459335256 689002884 1378005768