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13047744774031 = 1159188921294999
BaseRepresentation
bin1011110111011110101000…
…1100010011111110001111
31201012100111202201100110121
42331313222030103332033
53202233240130232111
643430015020445411
72514445164443332
oct275675214237617
951170452640417
1013047744774031
114180576853130
1215688a73a9867
1373852142b7b6
1433172b020619
15179606051871
hexbddea313f8f

13047744774031 has 32 divisors (see below), whose sum is σ = 14492520000000. Its totient is φ = 11646565109760.

The previous prime is 13047744773993. The next prime is 13047744774089.

It is a happy number.

13047744774031 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13047744774031 is a prime.

It is a super-2 number, since 2×130477447740312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13047744774031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047744774091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610068470 + ... + 2610073468.

It is an arithmetic number, because the mean of its divisors is an integer number (452891250000).

Almost surely, 213047744774031 is an apocalyptic number.

13047744774031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13047744774031 is a deficient number, since it is larger than the sum of its proper divisors (1444775225969).

13047744774031 is a wasteful number, since it uses less digits than its factorization.

13047744774031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087.

The product of its (nonzero) digits is 5531904, while the sum is 52.

The spelling of 13047744774031 in words is "thirteen trillion, forty-seven billion, seven hundred forty-four million, seven hundred seventy-four thousand, thirty-one".

Divisors: 1 11 59 649 1889 2129 4999 20779 23419 54989 111451 125611 294941 1225961 1381721 3244351 4021681 9443111 10642871 44238491 103874221 117071581 237279179 557143549 627929389 2610070969 6128579039 6907223279 20104383319 221148216509 1186158615821 13047744774031