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49797651168 = 25323722920407
BaseRepresentation
bin101110011000001010…
…111101101011100000
311202112111001210012200
4232120022331223200
51303441144314133
634513212253200
73412014023316
oct563012755340
9152474053180
1049797651168
111a134526411
129799171200
134907b725a5
1425a58da0b6
151466c24913
hexb982bdae0

49797651168 has 144 divisors (see below), whose sum is σ = 146081688480. Its totient is φ = 16079275008.

The previous prime is 49797651161. The next prime is 49797651181. The reversal of 49797651168 is 86115679794.

49797651168 is a `hidden beast` number, since 49 + 7 + 9 + 76 + 511 + 6 + 8 = 666.

49797651168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49797651161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430021 + ... + 2450427.

It is an arithmetic number, because the mean of its divisors is an integer number (1014456170).

Almost surely, 249797651168 is an apocalyptic number.

49797651168 is a gapful number since it is divisible by the number (48) 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 49797651168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73040844240).

49797651168 is an abundant number, since it is smaller than the sum of its proper divisors (96284037312).

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

49797651168 is a wasteful number, since it uses less digits than its factorization.

49797651168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20689 (or 20678 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 49797651168 in words is "forty-nine billion, seven hundred ninety-seven million, six hundred fifty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 229 288 296 333 444 458 592 666 687 888 916 1184 1332 1374 1776 1832 2061 2664 2748 3552 3664 4122 5328 5496 7328 8244 8473 10656 10992 16488 16946 20407 21984 25419 32976 33892 40814 50838 61221 65952 67784 76257 81628 101676 122442 135568 152514 163256 183663 203352 244884 271136 305028 326512 367326 406704 489768 610056 653024 734652 755059 813408 979536 1220112 1469304 1510118 1959072 2265177 2440224 2938608 3020236 4530354 4673203 5877216 6040472 6795531 9060708 9346406 12080944 13591062 14019609 18121416 18692812 24161888 27182124 28039218 36242832 37385624 42058827 54364248 56078436 72485664 74771248 84117654 108728496 112156872 149542496 168235308 172908511 217456992 224313744 336470616 345817022 448627488 518725533 672941232 691634044 1037451066 1345882464 1383268088 1556176599 2074902132 2766536176 3112353198 4149804264 5533072352 6224706396 8299608528 12449412792 16599217056 24898825584 49797651168