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12787031008 = 251953795023
BaseRepresentation
bin10111110100010101…
…01001101111100000
31020000011001110221001
423322022221233200
5202141434443013
65512502241344
7631605653533
oct137212515740
936004043831
1012787031008
115471a44724
12258a426254
13128a22664b
1489436ca1a
154ec8d4ddd
hex2fa2a9be0

12787031008 has 96 divisors (see below), whose sum is σ = 27346636800. Its totient is φ = 5866338816.

The previous prime is 12787030979. The next prime is 12787031011. The reversal of 12787031008 is 80013078721.

It is a congruent number.

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, 2543185 + ... + 2548207.

It is an arithmetic number, because the mean of its divisors is an integer number (284860800).

Almost surely, 212787031008 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 12787031008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673318400).

12787031008 is an abundant number, since it is smaller than the sum of its proper divisors (14559605792).

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

12787031008 is a wasteful number, since it uses less digits than its factorization.

12787031008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 12787031008 in words is "twelve billion, seven hundred eighty-seven million, thirty-one thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 53 76 79 106 152 158 212 304 316 424 608 632 848 1007 1264 1501 1696 2014 2528 3002 4028 4187 5023 6004 8056 8374 10046 12008 16112 16748 20092 24016 32224 33496 40184 48032 66992 79553 80368 95437 133984 159106 160736 190874 266219 318212 381748 396817 532438 636424 763496 793634 1064876 1272848 1526992 1587268 2129752 2545696 3053984 3174536 4259504 5058161 6349072 7539523 8519008 10116322 12698144 15079046 20232644 21031301 30158092 40465288 42062602 60316184 80930576 84125204 120632368 161861152 168250408 241264736 336500816 399594719 673001632 799189438 1598378876 3196757752 6393515504 12787031008