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19407168090 = 23254719872309
BaseRepresentation
bin10010000100110000…
…011110001001011010
31212002112000021202100
4102010300132021122
5304221213334330
612525430544230
71254633130662
oct220460361132
955075007670
1019407168090
1182599276a2
123917508076
131aa391b91b
14d216871a2
15788bb7060
hex484c1e25a

19407168090 has 96 divisors (see below), whose sum is σ = 51580488960. Its totient is φ = 5060391552.

The previous prime is 19407168071. The next prime is 19407168101. The reversal of 19407168090 is 9086170491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8403856 + ... + 8406164.

It is an arithmetic number, because the mean of its divisors is an integer number (537296760).

Almost surely, 219407168090 is an apocalyptic number.

19407168090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19407168090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790244480).

19407168090 is an abundant number, since it is smaller than the sum of its proper divisors (32173320870).

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

19407168090 is a wasteful number, since it uses less digits than its factorization.

19407168090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 19407168090 in words is "nineteen billion, four hundred seven million, one hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 1987 2115 2309 3974 4230 4618 5961 6927 9935 11545 11922 13854 17883 19870 20781 23090 29805 34635 35766 41562 59610 69270 89415 93389 103905 108523 178830 186778 207810 217046 280167 325569 466945 542615 560334 651138 840501 933890 976707 1085230 1400835 1627845 1681002 1953414 2801670 3255690 4202505 4587983 4883535 8405010 9175966 9767070 13763949 22939915 27527898 41291847 45879830 68819745 82583694 137639490 206459235 215635201 412918470 431270402 646905603 1078176005 1293811206 1940716809 2156352010 3234528015 3881433618 6469056030 9703584045 19407168090