Search a number
-
+
19660954368 = 2831119122489
BaseRepresentation
bin10010010011111000…
…100101101100000000
31212202012112222002010
4102103320211230000
5310231201014433
613010534252520
71264134232446
oct222370455400
955665488063
1019660954368
11837a107020
1239884b7140
131b14388813
14d4726ab96
157a10e7e63
hex493e25b00

19660954368 has 144 divisors (see below), whose sum is σ = 60088694400. Its totient is φ = 5644247040.

The previous prime is 19660954367. The next prime is 19660954399. The reversal of 19660954368 is 86345906691.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (19660954361) 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, 99268 + ... + 221756.

It is an arithmetic number, because the mean of its divisors is an integer number (417282600).

Almost surely, 219660954368 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 19660954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30044347200).

19660954368 is an abundant number, since it is smaller than the sum of its proper divisors (40427740032).

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

19660954368 is a wasteful number, since it uses less digits than its factorization.

19660954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122538 (or 122524 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 19660954368 in words is "nineteen billion, six hundred sixty million, nine hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13376 14592 20064 26752 40128 53504 80256 122489 160512 244978 367467 489956 734934 979912 1347379 1469868 1959824 2327291 2694758 2939736 3919648 4042137 4654582 5389516 5879472 6981873 7839296 8084274 9309164 10779032 11758944 13963746 15678592 16168548 18618328 21558064 23517888 25600201 27927492 31357184 32337096 37236656 43116128 47035776 51200402 55854984 64674192 74473312 76800603 86232256 94071552 102400804 111709968 129348384 148946624 153601206 172464512 204801608 223419936 258696768 297893248 307202412 344929024 409603216 446839872 517393536 595786496 614404824 819206432 893679744 1034787072 1228809648 1638412864 1787359488 2457619296 3276825728 4915238592 6553651456 9830477184 19660954368