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46650045424 = 24295910211669
BaseRepresentation
bin101011011100100011…
…110011001111110000
311110102010021211212011
4223130203303033300
51231014402423144
633233012212304
73241013562223
oct533443631760
9143363254764
1046650045424
1118869809654
12905b00a094
134525a19b98
14238786d5ba
151330725a34
hexadc8f33f0

46650045424 has 80 divisors (see below), whose sum is σ = 95236092000. Its totient is φ = 22104069120.

The previous prime is 46650045413. The next prime is 46650045451. The reversal of 46650045424 is 42454005664.

It is a happy number.

It is a super-2 number, since 2×466500454242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27950062 + ... + 27951730.

It is an arithmetic number, because the mean of its divisors is an integer number (1190451150).

Almost surely, 246650045424 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 46650045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47618046000).

46650045424 is an abundant number, since it is smaller than the sum of its proper divisors (48586046576).

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

46650045424 is a wasteful number, since it uses less digits than its factorization.

46650045424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 46650045424 in words is "forty-six billion, six hundred fifty million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 944 1021 1669 1711 2042 3338 3422 4084 6676 6844 8168 13352 13688 16336 26704 27376 29609 48401 59218 60239 96802 98471 118436 120478 193604 196942 236872 240956 387208 393884 473744 481912 774416 787768 963824 1575536 1704049 1746931 2855659 3408098 3493862 5711318 6816196 6987724 11422636 13632392 13975448 22845272 27264784 27950896 45690544 49417421 98834842 100538891 197669684 201077782 395339368 402155564 790678736 804311128 1608622256 2915627839 5831255678 11662511356 23325022712 46650045424