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57484116448 = 2511295631281
BaseRepresentation
bin110101100010010100…
…100000000111100000
312111101011111200022221
4311202110200013200
51420211413211243
642224032040424
74103336633143
oct654224400740
9174334450287
1057484116448
1122419315560
12b183393114
1355614591b5
142ad46aa05a
15176693abed
hexd625201e0

57484116448 has 48 divisors (see below), whose sum is σ = 127717475760. Its totient is φ = 25228134400.

The previous prime is 57484116439. The next prime is 57484116479. The reversal of 57484116448 is 84461148475.

It is a junction number, because it is equal to n+sod(n) for n = 57484116395 and 57484116404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805433 + ... + 2825848.

It is an arithmetic number, because the mean of its divisors is an integer number (2660780745).

Almost surely, 257484116448 is an apocalyptic number.

57484116448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57484116448 is an abundant number, since it is smaller than the sum of its proper divisors (70233359312).

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

57484116448 is a wasteful number, since it uses less digits than its factorization.

57484116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631331 (or 5631323 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 57484116448 in words is "fifty-seven billion, four hundred eighty-four million, one hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 5631281 11262562 22525124 45050248 61944091 90100496 123888182 163307149 180200992 247776364 326614298 495552728 653228596 991105456 1306457192 1796378639 1982210912 2612914384 3592757278 5225828768 7185514556 14371029112 28742058224 57484116448