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13771480744 = 2371969118731
BaseRepresentation
bin11001101001101100…
…00001111010101000
31022112202110201002101
430310312001322220
5211200444340434
610154310343144
7665161440430
oct146466017250
938482421071
1013771480744
11592770734a
12280405aab4
1313b617a898
14948dcd2c0
15559043b14
hex334d81ea8

13771480744 has 64 divisors (see below), whose sum is σ = 31110105600. Its totient is φ = 5583038400.

The previous prime is 13771480741. The next prime is 13771480747. The reversal of 13771480744 is 44708417731.

It is an interprime number because it is at equal distance from previous prime (13771480741) and next prime (13771480747).

It is a junction number, because it is equal to n+sod(n) for n = 13771480694 and 13771480703.

It is not an unprimeable number, because it can be changed into a prime (13771480741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725859 + ... + 744589.

It is an arithmetic number, because the mean of its divisors is an integer number (486095400).

Almost surely, 213771480744 is an apocalyptic number.

13771480744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13771480744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555052800).

13771480744 is an abundant number, since it is smaller than the sum of its proper divisors (17338624856).

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

13771480744 is a wasteful number, since it uses less digits than its factorization.

13771480744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

It can be divided in two parts, 13771 and 480744, that added together give a triangular number (494515 = T994).

The spelling of 13771480744 in words is "thirteen billion, seven hundred seventy-one million, four hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 691 1064 1382 2764 4837 5528 9674 13129 18731 19348 26258 37462 38696 52516 74924 91903 105032 131117 149848 183806 262234 355889 367612 524468 711778 735224 1048936 1423556 2491223 2847112 4982446 9964892 12943121 19929784 25886242 51772484 90601847 103544968 181203694 245919299 362407388 491838598 724814776 983677196 1721435093 1967354392 3442870186 6885740372 13771480744