Search a number
-
+
5745689496 = 23322917915373
BaseRepresentation
bin1010101100111100…
…00100001110011000
3112211102112021020200
411112132010032120
543231344030441
62350050022200
7262245361221
oct52636041630
915742467220
105745689496
112489323618
121144277960
137074a7391
143c7130248
152396517b6
hex156784398

5745689496 has 96 divisors (see below), whose sum is σ = 16188822000. Its totient is φ = 1838737152.

The previous prime is 5745689459. The next prime is 5745689549. The reversal of 5745689496 is 6949865475.

5745689496 is a `hidden beast` number, since 5 + 7 + 456 + 8 + 94 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366066 + ... + 381438.

Almost surely, 25745689496 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 5745689496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094411000).

5745689496 is an abundant number, since it is smaller than the sum of its proper divisors (10443132504).

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

5745689496 is a wasteful number, since it uses less digits than its factorization.

5745689496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15586 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 5745689496 is about 75800.3264900620. The cubic root of 5745689496 is about 1791.0761499084.

The spelling of 5745689496 in words is "five billion, seven hundred forty-five million, six hundred eighty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 179 232 261 348 358 522 537 696 716 1044 1074 1432 1611 2088 2148 3222 4296 5191 6444 10382 12888 15373 15573 20764 30746 31146 41528 46119 46719 61492 62292 92238 93438 122984 124584 138357 184476 186876 276714 368952 373752 445817 553428 891634 1106856 1337451 1783268 2674902 2751767 3566536 4012353 5349804 5503534 8024706 8255301 10699608 11007068 16049412 16510602 22014136 24765903 32098824 33021204 49531806 66042408 79801243 99063612 159602486 198127224 239403729 319204972 478807458 638409944 718211187 957614916 1436422374 1915229832 2872844748 5745689496