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49008557916 = 223217535925609
BaseRepresentation
bin101101101001001000…
…110011111101011100
311200111111020200202200
4231221020303331130
51300332142323131
634303023251500
73353322604023
oct555110637534
9150444220680
1049008557916
111986a064a2a
1295b8a49b90
13481053abc6
14252cbad8ba
15141c8042e6
hexb69233f5c

49008557916 has 144 divisors (see below), whose sum is σ = 135915343200. Its totient is φ = 14828875776.

The previous prime is 49008557911. The next prime is 49008558017. The reversal of 49008557916 is 61975580094.

49008557916 is a `hidden beast` number, since 490 + 0 + 85 + 5 + 79 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49008557911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900920 + ... + 1926528.

It is an arithmetic number, because the mean of its divisors is an integer number (943856550).

Almost surely, 249008557916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49008557916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67957671600).

49008557916 is an abundant number, since it is smaller than the sum of its proper divisors (86906785284).

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

49008557916 is a wasteful number, since it uses less digits than its factorization.

49008557916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25748 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 49008557916 in words is "forty-nine billion, eight million, five hundred fifty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 59 68 102 106 118 153 159 177 204 212 236 306 318 354 477 531 612 636 708 901 954 1003 1062 1802 1908 2006 2124 2703 3009 3127 3604 4012 5406 6018 6254 8109 9027 9381 10812 12036 12508 16218 18054 18762 25609 28143 32436 36108 37524 51218 53159 56286 76827 102436 106318 112572 153654 159477 212636 230481 307308 318954 435353 460962 478431 637908 870706 921924 956862 1306059 1357277 1510931 1741412 1913724 2612118 2714554 3021862 3918177 4071831 4532793 5224236 5429108 6043724 7836354 8143662 9065586 12215493 13598379 15672708 16287324 18131172 23073709 24430986 25685827 27196758 46147418 48861972 51371654 54393516 69221127 77057481 80079343 92294836 102743308 138442254 154114962 160158686 207663381 231172443 240238029 276884508 308229924 320317372 415326762 462344886 480476058 720714087 830653524 924689772 960952116 1361348831 1441428174 2722697662 2882856348 4084046493 5445395324 8168092986 12252139479 16336185972 24504278958 49008557916