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11506240613 = 732343107317
BaseRepresentation
bin10101011011101001…
…10100110001100101
31002200220000120210202
422231310310301211
5142031044144423
65141430400245
7555064301000
oct125564646145
932626016722
1011506240613
114974a7796a
122291500085
131114a860ca
147b220c537
1547523b728
hex2add34c65

11506240613 has 64 divisors (see below), whose sum is σ = 14506905600. Its totient is φ = 9099389376.

The previous prime is 11506240607. The next prime is 11506240621. The reversal of 11506240613 is 31604260511.

It is a happy number.

It is not a de Polignac number, because 11506240613 - 24 = 11506240597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506240633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36297131 + ... + 36297447.

It is an arithmetic number, because the mean of its divisors is an integer number (226670400).

Almost surely, 211506240613 is an apocalyptic number.

It is an amenable number.

11506240613 is a deficient number, since it is larger than the sum of its proper divisors (3000664987).

11506240613 is a wasteful number, since it uses less digits than its factorization.

11506240613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 11506240613 in words is "eleven billion, five hundred six million, two hundred forty thousand, six hundred thirteen".

Divisors: 1 7 23 43 49 107 161 301 317 343 749 989 1127 2107 2219 2461 4601 5243 6923 7291 7889 13631 14749 15533 17227 32207 33919 36701 48461 51037 95417 105823 108731 120589 225449 237433 313513 339227 357259 667919 740761 780137 844123 1458517 1578143 1662031 2194591 2500813 4675433 5185327 5460959 10209619 11634217 15362137 33545891 36297289 38226713 71467333 107534959 234821237 267586991 500271331 1643748659 11506240613