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493561712976 = 243231553287873
BaseRepresentation
bin1110010111010101001…
…00100001000101010000
31202011222011102211210120
413023222210201011100
531041303244303401
61014423352230240
750441630224263
oct7135244410520
91664864384716
10493561712976
111803557a1132
127b7a499b380
1337709326797
1419c62124cda
15cc8a7c2836
hex72ea921150

493561712976 has 80 divisors (see below), whose sum is σ = 1331332039296. Its totient is φ = 157265625088.

The previous prime is 493561712957. The next prime is 493561712981. The reversal of 493561712976 is 679217165394.

It is a congruent number.

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, 1570576 + ... + 1858448.

Almost surely, 2493561712976 is an apocalyptic number.

493561712976 is a gapful number since it is divisible by the number (46) 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 493561712976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665666019648).

493561712976 is an abundant number, since it is smaller than the sum of its proper divisors (837770326320).

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

493561712976 is a wasteful number, since it uses less digits than its factorization.

493561712976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289460 (or 289454 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 60.

The spelling of 493561712976 in words is "four hundred ninety-three billion, five hundred sixty-one million, seven hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1553 3106 4659 6212 9318 12424 18636 24848 35719 37272 71438 74544 107157 142876 214314 285752 287873 428628 571504 575746 857256 863619 1151492 1714512 1727238 2302984 3454476 4605968 6621079 6908952 13242158 13817904 19863237 26484316 39726474 52968632 79452948 105937264 158905896 317811792 447066769 894133538 1341200307 1788267076 2682400614 3576534152 5364801228 7153068304 10282535687 10729602456 20565071374 21459204912 30847607061 41130142748 61695214122 82260285496 123390428244 164520570992 246780856488 493561712976