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1312992987648 = 2932937274013
BaseRepresentation
bin10011000110110100011…
…110110000101000000000
311122112001201221121112220
4103012310132300220000
5133003002201101043
62443103004251040
7163601122152006
oct23066436605000
94575051847486
101312992987648
11466923348111
12192572840a80
1396a78bb2404
144779900aa76
152424993e483
hex131b47b0a00

1312992987648 has 160 divisors (see below), whose sum is σ = 3515537241216. Its totient is φ = 435462094848.

The previous prime is 1312992987623. The next prime is 1312992987673. The reversal of 1312992987648 is 8467892992131.

It is an interprime number because it is at equal distance from previous prime (1312992987623) and next prime (1312992987673).

It is a super-2 number, since 2×13129929876482 (a number of 25 digits) contains 22 as substring.

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, 327182890 + ... + 327186902.

Almost surely, 21312992987648 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 1312992987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757768620608).

1312992987648 is an abundant number, since it is smaller than the sum of its proper divisors (2202544253568).

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

1312992987648 is an equidigital number, since it uses as much as digits as its factorization.

1312992987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5038 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 69.

The spelling of 1312992987648 in words is "one trillion, three hundred twelve billion, nine hundred ninety-two million, nine hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 512 586 727 768 879 1172 1454 1536 1758 2181 2344 2908 3516 4013 4362 4688 5816 7032 8026 8724 9376 11632 12039 14064 16052 17448 18752 23264 24078 28128 32104 34896 37504 46528 48156 56256 64208 69792 75008 93056 96312 112512 128416 139584 150016 186112 192624 213011 225024 256832 279168 372224 385248 426022 450048 513664 558336 639033 770496 852044 1027328 1116672 1175809 1278066 1540992 1704088 2054656 2351618 2556132 2917451 3081984 3408176 3527427 4703236 5112264 5834902 6163968 6816352 7054854 8752353 9406472 10224528 11669804 13632704 14109708 17504706 18812944 20449056 23339608 27265408 28219416 35009412 37625888 40898112 46679216 54530816 56438832 70018824 75251776 81796224 93358432 109061632 112877664 140037648 150503552 163592448 186716864 225755328 280075296 301007104 327184896 373433728 451510656 560150592 602014208 746867456 854813143 903021312 1120301184 1493734912 1709626286 1806042624 2240602368 2564439429 3419252572 4481204736 5128878858 6838505144 10257757716 13677010288 20515515432 27354020576 41031030864 54708041152 82062061728 109416082304 164124123456 218832164608 328248246912 437664329216 656496493824 1312992987648