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268053024636 = 223223595487043
BaseRepresentation
bin1111100110100100110…
…1001000111101111100
3221121220002001112021100
43321221031020331330
513342433033242021
6323050350333100
725236414054435
oct3715115107574
9847802045240
10268053024636
11a3753a42921
1243b4a4ba190
131c37b2964a7
14cd8c2c248c
156e8cb98626
hex3e69348f7c

268053024636 has 72 divisors (see below), whose sum is σ = 719022245760. Its totient is φ = 84017587104.

The previous prime is 268053024601. The next prime is 268053024709. The reversal of 268053024636 is 636420350862.

It is a happy number.

268053024636 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 5 + 3 + 0 + 2 + 4 + 636 = 666.

268053024636 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268053024591 and 268053024600.

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, 2694670 + ... + 2792373.

It is an arithmetic number, because the mean of its divisors is an integer number (9986420080).

Almost surely, 2268053024636 is an apocalyptic number.

It is an amenable number.

268053024636 is an abundant number, since it is smaller than the sum of its proper divisors (450969221124).

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

268053024636 is a wasteful number, since it uses less digits than its factorization.

268053024636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487135 (or 5487130 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 268053024636 in words is "two hundred sixty-eight billion, fifty-three million, twenty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 708 828 1062 1357 2124 2714 4071 5428 8142 12213 16284 24426 48852 5487043 10974086 16461129 21948172 32922258 49383387 65844516 98766774 126201989 197533548 252403978 323735537 378605967 504807956 647471074 757211934 971206611 1135817901 1294942148 1514423868 1942413222 2271635802 2913619833 3884826444 4543271604 5827239666 7445917351 11654479332 14891834702 22337752053 29783669404 44675504106 67013256159 89351008212 134026512318 268053024636