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455050000494 = 233193137386677
BaseRepresentation
bin1101001111100110001…
…01111111100001101110
31121111120012212010222000
412213303011333201232
524423420300003434
6545014100433130
744606364120165
oct6476305774156
91544505763860
10455050000494
11165a92953581
12742373a87a6
1333bac6c532b
141804b48c3dc
15bc847beb99
hex69f317f86e

455050000494 has 128 divisors (see below), whose sum is σ = 1128481075200. Its totient is φ = 135305665920.

The previous prime is 455050000429. The next prime is 455050000499. The reversal of 455050000494 is 494000050554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455050000499) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983484 + ... + 1370160.

It is an arithmetic number, because the mean of its divisors is an integer number (8816258400).

Almost surely, 2455050000494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455050000494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564240537600).

455050000494 is an abundant number, since it is smaller than the sum of its proper divisors (673431074706).

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

455050000494 is a wasteful number, since it uses less digits than its factorization.

455050000494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386775 (or 386769 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 455050000494 in words is "four hundred fifty-five billion, fifty million, four hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 31 37 38 54 57 62 74 93 111 114 171 186 222 279 333 342 513 558 589 666 703 837 999 1026 1147 1178 1406 1674 1767 1998 2109 2294 3441 3534 4218 5301 6327 6882 10323 10602 12654 15903 18981 20646 21793 30969 31806 37962 43586 61938 65379 130758 196137 386677 392274 588411 773354 1160031 1176822 2320062 3480093 6960186 7346863 10440279 11986987 14307049 14693726 20880558 22040589 23973974 28614098 35960961 42921147 44081178 66121767 71921922 85842294 107882883 128763441 132243534 198365301 215765766 227752753 257526882 271833931 323648649 386290323 396730602 443518519 455505506 543667862 647297298 683258259 772580646 815501793 887037038 1330555557 1366516518 1631003586 2049774777 2446505379 2661111114 3991666671 4099549554 4893010758 6149324331 7339516137 7983333342 8426851861 11975000013 12298648662 14679032274 16853703722 23950000026 25280555583 50561111166 75841666749 151683333498 227525000247 455050000494