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499037661920 = 25572112356681
BaseRepresentation
bin1110100001100001111…
…01100110101011100000
31202201002210101212120102
413100300331212223200
531134012120140140
61021131005001532
751024422065100
oct7206075465340
91681083355512
10499037661920
11182705828676
12808728532a8
133809c969165
141a2214bb200
15ceab3e0e15
hex7430f66ae0

499037661920 has 144 divisors (see below), whose sum is σ = 1372707898128. Its totient is φ = 170943252480.

The previous prime is 499037661901. The next prime is 499037661953. The reversal of 499037661920 is 29166730994.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8775980 + ... + 8832660.

It is an arithmetic number, because the mean of its divisors is an integer number (9532693737).

Almost surely, 2499037661920 is an apocalyptic number.

499037661920 is a gapful number since it is divisible by the number (40) 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 499037661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686353949064).

499037661920 is an abundant number, since it is smaller than the sum of its proper divisors (873670236208).

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

499037661920 is a wasteful number, since it uses less digits than its factorization.

499037661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57833 (or 57818 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 56.

The spelling of 499037661920 in words is "four hundred ninety-nine billion, thirty-seven million, six hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1123 1568 1960 2246 3920 4492 5615 7840 7861 8984 11230 15722 17968 22460 31444 35936 39305 44920 55027 56681 62888 78610 89840 110054 113362 125776 157220 179680 220108 226724 251552 275135 283405 314440 396767 440216 453448 550270 566810 628880 793534 880432 906896 1100540 1133620 1257760 1587068 1760864 1813792 1983835 2201080 2267240 2777369 3174136 3967670 4402160 4534480 5554738 6348272 7935340 8804320 9068960 11109476 12696544 13886845 15870680 22218952 27773690 31741360 44437904 55547380 63482720 63652763 88875808 111094760 127305526 222189520 254611052 318263815 444379040 445569341 509222104 636527630 891138682 1018444208 1273055260 1782277364 2036888416 2227846705 2546110520 3118985387 3564554728 4455693410 5092221040 6237970774 7129109456 8911386820 10184442080 12475941548 14258218912 15594926935 17822773640 24951883096 31189853870 35645547280 49903766192 62379707740 71291094560 99807532384 124759415480 249518830960 499037661920