Search a number
-
+
90117819072 = 2632942116607
BaseRepresentation
bin101001111101101110…
…0001100101011000000
322121121110120112111200
41103323130030223000
52434030130202242
6105222145341200
76340126552251
oct1237334145300
9277543515450
1090117819072
1135245183326
1215570337800
1386623645c8
14450c80ab28
1525268a104c
hex14fb70cac0

90117819072 has 84 divisors (see below), whose sum is σ = 258349430976. Its totient is φ = 30034275840.

The previous prime is 90117819061. The next prime is 90117819083. The reversal of 90117819072 is 27091871109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90117819061) and next prime (90117819083).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418193 + ... + 5434799.

It is an arithmetic number, because the mean of its divisors is an integer number (3075588464).

Almost surely, 290117819072 is an apocalyptic number.

It is an amenable number.

90117819072 is an abundant number, since it is smaller than the sum of its proper divisors (168231611904).

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

90117819072 is a wasteful number, since it uses less digits than its factorization.

90117819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26046 (or 26033 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 90117819072 in words is "ninety billion, one hundred seventeen million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9421 16607 18842 28263 33214 37684 49821 56526 66428 75368 84789 99642 113052 132856 149463 150736 169578 199284 226104 265712 298926 301472 339156 398568 452208 531424 597852 602944 678312 797136 904416 1062848 1195704 1356624 1594272 1808832 2391408 2713248 3188544 4782816 5426496 9565632 156454547 312909094 469363641 625818188 938727282 1251636376 1408090923 1877454564 2503272752 2816181846 3754909128 5006545504 5632363692 7509818256 10013091008 11264727384 15019636512 22529454768 30039273024 45058909536 90117819072