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1377886464 = 283466449
BaseRepresentation
bin101001000100000…
…1110000100000000
310120000201212220000
41102020032010000
510310214331324
6344420520000
746100561463
oct12210160400
93500655800
101377886464
11647865549
12325550000
1318c608346
14d0dd72da
1580e779c9
hex5220e100

1377886464 has 90 divisors (see below), whose sum is σ = 4108669950. Its totient is φ = 459288576.

The previous prime is 1377886463. The next prime is 1377886487. The reversal of 1377886464 is 4646887731.

1377886464 is a `hidden beast` number, since 1 + 37 + 78 + 86 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1369592064 + 8294400 = 37008^2 + 2880^2 .

It is a super-2 number, since 2×13778864642 = 3797142215348846592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1377886464.

It is not an unprimeable number, because it can be changed into a prime (1377886463) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12489 + ... + 53960.

Almost surely, 21377886464 is an apocalyptic number.

It is an amenable number.

1377886464 is an abundant number, since it is smaller than the sum of its proper divisors (2730783486).

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

1377886464 is an frugal number, since it uses more digits than its factorization.

1377886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66477 (or 66454 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 1377886464 is about 37119.8931032944. The cubic root of 1377886464 is about 1112.7676151883.

The spelling of 1377886464 in words is "one billion, three hundred seventy-seven million, eight hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 66449 132898 199347 265796 398694 531592 598041 797388 1063184 1196082 1594776 1794123 2126368 2392164 3189552 3588246 4252736 4784328 5382369 6379104 7176492 8505472 9568656 10764738 12758208 14352984 17010944 19137312 21529476 25516416 28705968 38274624 43058952 51032832 57411936 76549248 86117904 114823872 153098496 172235808 229647744 344471616 459295488 688943232 1377886464