Search a number
-
+
57146090496 = 2103111691113
BaseRepresentation
bin110101001110001011…
…000010010000000000
312110111121110011220020
4311032023002100000
51414013344343441
642130315013440
74062063516555
oct651613022000
9173447404806
1057146090496
1122265529670
12b0aa13a280
135509406241
142aa1838a2c
151746e19e66
hexd4e2c2400

57146090496 has 88 divisors (see below), whose sum is σ = 166162097184. Its totient is φ = 17316986880.

The previous prime is 57146090489. The next prime is 57146090501. The reversal of 57146090496 is 69409064175.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811765 + ... + 879348.

Almost surely, 257146090496 is an apocalyptic number.

It is an amenable number.

57146090496 is an abundant number, since it is smaller than the sum of its proper divisors (109016006688).

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

57146090496 is a wasteful number, since it uses less digits than its factorization.

57146090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691147 (or 1691129 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 57146090496 in words is "fifty-seven billion, one hundred forty-six million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 1691113 3382226 5073339 6764452 10146678 13528904 18602243 20293356 27057808 37204486 40586712 54115616 55806729 74408972 81173424 108231232 111613458 148817944 162346848 216462464 223226916 297635888 324693696 432924928 446453832 595271776 649387392 865849856 892907664 1190543552 1298774784 1731699712 1785815328 2381087104 2597549568 3571630656 4762174208 5195099136 7143261312 9524348416 14286522624 19048696832 28573045248 57146090496