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12796591440 = 2435122343597
BaseRepresentation
bin10111110101011110…
…00111110101010000
31020000211001012101010
423322233013311100
5202201411411230
65513443210520
7632053142523
oct137257076520
936024035333
1012796591440
115477384606
122591676a40
13128c1c30c9
1489573abba
154ed6729b0
hex2fabc7d50

12796591440 has 80 divisors (see below), whose sum is σ = 39702780288. Its totient is φ = 3409555968.

The previous prime is 12796591439. The next prime is 12796591459. The reversal of 12796591440 is 4419569721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12796591440.

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, 271722 + ... + 315318.

Almost surely, 212796591440 is an apocalyptic number.

12796591440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12796591440 is an abundant number, since it is smaller than the sum of its proper divisors (26906188848).

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

12796591440 is a wasteful number, since it uses less digits than its factorization.

12796591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44836 (or 44830 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12796591440 in words is "twelve billion, seven hundred ninety-six million, five hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1223 2446 3669 4892 6115 7338 9784 12230 14676 18345 19568 24460 29352 36690 43597 48920 58704 73380 87194 97840 130791 146760 174388 217985 261582 293520 348776 435970 523164 653955 697552 871940 1046328 1307910 1743880 2092656 2615820 3487760 5231640 10463280 53319131 106638262 159957393 213276524 266595655 319914786 426553048 533191310 639829572 799786965 853106096 1066382620 1279659144 1599573930 2132765240 2559318288 3199147860 4265530480 6398295720 12796591440