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45549600456 = 23364314811993
BaseRepresentation
bin101010011010111101…
…111011111011001000
311100120102121110011010
4222122331323323020
51221241144203311
632531502003520
73201522133653
oct523275737310
9140512543133
1045549600456
111835461aaa8
1289b25765a0
1343aba41809
1422c165689a
1512b8d02da6
hexa9af7bec8

45549600456 has 64 divisors (see below), whose sum is σ = 114185373120. Its totient is φ = 15141749760.

The previous prime is 45549600427. The next prime is 45549600469. The reversal of 45549600456 is 65400694554.

It is a super-2 number, since 2×455496004562 (a number of 22 digits) contains 22 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, 22853796 + ... + 22855788.

It is an arithmetic number, because the mean of its divisors is an integer number (1784146455).

Almost surely, 245549600456 is an apocalyptic number.

It is an amenable number.

45549600456 is an abundant number, since it is smaller than the sum of its proper divisors (68635772664).

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

45549600456 is a wasteful number, since it uses less digits than its factorization.

45549600456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 45549600456 in words is "forty-five billion, five hundred forty-nine million, six hundred thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 643 1286 1481 1929 1993 2572 2962 3858 3986 4443 5144 5924 5979 7716 7972 8886 11848 11958 15432 15944 17772 23916 35544 47832 952283 1281499 1904566 2562998 2856849 2951633 3809132 3844497 5125996 5713698 5903266 7618264 7688994 8854899 10251992 11427396 11806532 15377988 17709798 22854792 23613064 30755976 35419596 70839192 1897900019 3795800038 5693700057 7591600076 11387400114 15183200152 22774800228 45549600456