Search a number
-
+
26113693104 = 24322941152519
BaseRepresentation
bin11000010100011111…
…110101010110110000
32111101220112001112200
4120110133311112300
5411440101134404
615555123023200
71613056505022
oct302437652660
974356461480
1026113693104
1110090554154
12508950ab00
13260219ca15
14139a24c012
15a2c860839
hex6147f55b0

26113693104 has 120 divisors (see below), whose sum is σ = 77446605600. Its totient is φ = 8199367680.

The previous prime is 26113693097. The next prime is 26113693141. The reversal of 26113693104 is 40139631162.

26113693104 is a `hidden beast` number, since 2 + 611 + 3 + 6 + 9 + 31 + 0 + 4 = 666.

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

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, 94957 + ... + 247475.

It is an arithmetic number, because the mean of its divisors is an integer number (645388380).

Almost surely, 226113693104 is an apocalyptic number.

26113693104 is a gapful number since it is divisible by the number (24) 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 26113693104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38723302800).

26113693104 is an abundant number, since it is smaller than the sum of its proper divisors (51332912496).

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

26113693104 is a wasteful number, since it uses less digits than its factorization.

26113693104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152603 (or 152594 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 26113693104 in words is "twenty-six billion, one hundred thirteen million, six hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2378 2952 3567 4176 4756 5904 7134 9512 10701 14268 19024 21402 28536 42804 57072 85608 152519 171216 305038 457557 610076 915114 1220152 1372671 1830228 2440304 2745342 3660456 4423051 5490684 6253279 7320912 8846102 10981368 12506558 13269153 17692204 18759837 21962736 25013116 26538306 35384408 37519674 39807459 50026232 53076612 56279511 70768816 75039348 79614918 100052464 106153224 112559022 150078696 159229836 181345091 212306448 225118044 300157392 318459672 362690182 450236088 544035273 636919344 725380364 900472176 1088070546 1450760728 1632105819 2176141092 2901521456 3264211638 4352282184 6528423276 8704564368 13056846552 26113693104