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13885790661 = 3331412931381
BaseRepresentation
bin11001110111010100…
…00101100111000101
31022211201120020211000
430323222011213011
5211414230300121
610213512403513
71001050162461
oct147352054705
938751506730
1013885790661
115986192056
1228363a6599
131403a618a2
1495a2674a1
155640c3526
hex33ba859c5

13885790661 has 64 divisors (see below), whose sum is σ = 21843118080. Its totient is φ = 8703936000.

The previous prime is 13885790641. The next prime is 13885790663. The reversal of 13885790661 is 16609758831.

13885790661 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 579 + 0 + 6 + 61 = 666.

It is not a de Polignac number, because 13885790661 - 27 = 13885790533 is a prime.

It is a super-2 number, since 2×138857906612 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13885790598 and 13885790607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13885790663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10054191 + ... + 10055571.

It is an arithmetic number, because the mean of its divisors is an integer number (341298720).

Almost surely, 213885790661 is an apocalyptic number.

It is an amenable number.

13885790661 is a deficient number, since it is larger than the sum of its proper divisors (7957327419).

13885790661 is a wasteful number, since it uses less digits than its factorization.

13885790661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

It can be divided in two parts, 13885 and 790661, that added together give a triangular number (804546 = T1268).

The spelling of 13885790661 in words is "thirteen billion, eight hundred eighty-five million, seven hundred ninety thousand, six hundred sixty-one".

Divisors: 1 3 9 27 31 41 93 123 279 293 369 837 879 1107 1271 1381 2637 3813 4143 7911 9083 11439 12013 12429 27249 34317 36039 37287 42811 56621 81747 108117 128433 169863 245241 324351 372403 385299 404633 509589 1117209 1155897 1213899 1528767 1755251 3351627 3641697 5265753 10054881 10925091 12543623 15797259 16589953 37630869 47391777 49769859 112892607 149309577 338677821 447928731 514288543 1542865629 4628596887 13885790661