Search a number
-
+
18988245536 = 25131917913421
BaseRepresentation
bin10001101011110010…
…011010001000100000
31211000022201211001012
4101223302122020200
5302341442324121
612420104000052
71241355265301
oct215362321040
954008654035
1018988245536
118064407a07
12381b160028
131a37bb3460
14cc1b987a8
15762016c5b
hex46bc9a220

18988245536 has 96 divisors (see below), whose sum is σ = 42617534400. Its totient is φ = 8255554560.

The previous prime is 18988245527. The next prime is 18988245547. The reversal of 18988245536 is 63554288981.

It is a super-3 number, since 3×189882455363 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408106 + ... + 1421526.

It is an arithmetic number, because the mean of its divisors is an integer number (443932650).

Almost surely, 218988245536 is an apocalyptic number.

18988245536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18988245536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21308767200).

18988245536 is an abundant number, since it is smaller than the sum of its proper divisors (23629288864).

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

18988245536 is a wasteful number, since it uses less digits than its factorization.

18988245536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 13634 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 59.

The spelling of 18988245536 in words is "eighteen billion, nine hundred eighty-eight million, two hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 179 208 247 304 358 416 494 608 716 988 1432 1976 2327 2864 3401 3952 4654 5728 6802 7904 9308 13421 13604 18616 26842 27208 37232 44213 53684 54416 74464 88426 107368 108832 174473 176852 214736 254999 348946 353704 429472 509998 697892 707408 1019996 1395784 1414816 2039992 2402359 2791568 3314987 4079984 4804718 5583136 6629974 8159968 9609436 13259948 19218872 26519896 31230667 38437744 45644821 53039792 62461334 76875488 91289642 106079584 124922668 182579284 249845336 365158568 499690672 593382673 730317136 999381344 1186765346 1460634272 2373530692 4747061384 9494122768 18988245536