Search a number
-
+
20008769004 = 223271715130931
BaseRepresentation
bin10010101000100111…
…011001010111101100
31220122110000210001200
4102220213121113230
5311434221102004
613105241205500
71305556505340
oct225047312754
956573023050
1020008769004
118538479334
123a64a90890
131b6b4580b3
14d7b529620
157c18ee239
hex4a89d95ec

20008769004 has 144 divisors (see below), whose sum is σ = 61610605056. Its totient is φ = 5344704000.

The previous prime is 20008768999. The next prime is 20008769047. The reversal of 20008769004 is 40096780002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20008769004.

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, 631419 + ... + 662349.

It is an arithmetic number, because the mean of its divisors is an integer number (427851424).

Almost surely, 220008769004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20008769004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30805302528).

20008769004 is an abundant number, since it is smaller than the sum of its proper divisors (41601836052).

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

20008769004 is a wasteful number, since it uses less digits than its factorization.

20008769004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116 (or 31111 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20008769004 in words is "twenty billion, eight million, seven hundred sixty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 151 153 204 238 252 302 306 357 453 476 604 612 714 906 1057 1071 1359 1428 1812 2114 2142 2567 2718 3171 4228 4284 5134 5436 6342 7701 9513 10268 12684 15402 17969 19026 23103 30804 30931 35938 38052 46206 53907 61862 71876 92412 92793 107814 123724 161721 185586 215628 216517 278379 323442 371172 433034 525827 556758 646884 649551 866068 1051654 1113516 1299102 1577481 1948653 2103308 2598204 3154962 3680789 3897306 4670581 4732443 6309924 7361578 7794612 9341162 9464886 11042367 14011743 14723156 18682324 18929772 22084734 28023486 32694067 33127101 42035229 44169468 56046972 65388134 66254202 79399877 84070458 98082201 130776268 132508404 158799754 168140916 196164402 238199631 294246603 317599508 392328804 476399262 555799139 588493206 714598893 952798524 1111598278 1176986412 1429197786 1667397417 2223196556 2858395572 3334794834 5002192251 6669589668 10004384502 20008769004