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2570104464 = 2431912292293
BaseRepresentation
bin1001100100110000…
…1010111010010000
320122010002211112020
42121030022322100
520230421320324
61103010131440
7120455345634
oct23114127220
96563084466
102570104464
1110a9836584
125b8880b80
1331c606695
141a549cdc4
15100977679
hex9930ae90

2570104464 has 80 divisors (see below), whose sum is σ = 6997617600. Its totient is φ = 810597888.

The previous prime is 2570104463. The next prime is 2570104469. The reversal of 2570104464 is 4644010752.

It is not an unprimeable number, because it can be changed into a prime (2570104463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1119702 + ... + 1121994.

It is an arithmetic number, because the mean of its divisors is an integer number (87470220).

Almost surely, 22570104464 is an apocalyptic number.

2570104464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498808800).

2570104464 is an abundant number, since it is smaller than the sum of its proper divisors (4427513136).

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

2570104464 is a wasteful number, since it uses less digits than its factorization.

2570104464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2570104464 is about 50696.1977272458. The cubic root of 2570104464 is about 1369.7782268399.

The spelling of 2570104464 in words is "two billion, five hundred seventy million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1229 2293 2458 3687 4586 4916 6879 7374 9172 9832 13758 14748 18344 19664 23351 27516 29496 36688 43567 46702 55032 58992 70053 87134 93404 110064 130701 140106 174268 186808 261402 280212 348536 373616 522804 560424 697072 1045608 1120848 2091216 2818097 5636194 8454291 11272388 16908582 22544776 33817164 45089552 53543843 67634328 107087686 135268656 160631529 214175372 321263058 428350744 642526116 856701488 1285052232 2570104464