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49807438416 = 2432796077213
BaseRepresentation
bin101110011000110000…
…010011001001010000
311202120011111000210100
4232120300103021100
51304001201012131
634514202132400
73412163145501
oct563060231120
9152504430710
1049807438416
111a13a00074a
1297a04b1100
134909bbb368
1425a6d26ba8
151467a097e6
hexb98c13250

49807438416 has 120 divisors (see below), whose sum is σ = 141408250880. Its totient is φ = 16363047168.

The previous prime is 49807438393. The next prime is 49807438477. The reversal of 49807438416 is 61483470894.

49807438416 is a `hidden beast` number, since 498 + 0 + 74 + 3 + 84 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6901626 + ... + 6908838.

Almost surely, 249807438416 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 49807438416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704125440).

49807438416 is an abundant number, since it is smaller than the sum of its proper divisors (91600812464).

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

49807438416 is a wasteful number, since it uses less digits than its factorization.

49807438416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 49807438416 in words is "forty-nine billion, eight hundred seven million, four hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 607 632 711 948 1214 1264 1422 1821 1896 2428 2844 3642 3792 4856 5463 5688 7213 7284 9712 10926 11376 14426 14568 21639 21852 28852 29136 43278 43704 47953 57704 64917 86556 87408 95906 115408 129834 143859 173112 191812 259668 287718 346224 383624 431577 519336 569827 575436 767248 863154 1038672 1139654 1150872 1709481 1726308 2279308 2301744 3418962 3452616 4378291 4558616 5128443 6837924 6905232 8756582 9117232 10256886 13134873 13675848 17513164 20513772 26269746 27351696 35026328 39404619 41027544 52539492 70052656 78809238 82055088 105078984 157618476 210157968 315236952 345884989 630473904 691769978 1037654967 1383539956 2075309934 2767079912 3112964901 4150619868 5534159824 6225929802 8301239736 12451859604 16602479472 24903719208 49807438416