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46163348616 = 23371178731741
BaseRepresentation
bin101010111111100011…
…001100110010001000
311102011012111002100110
4222333203030302020
51224020304123431
633112424434320
73222653663130
oct527743146210
9142135432313
1046163348616
111863a009090
128b440189a0
134478c41cc8
14233cd7bac0
151302b39346
hexabf8ccc88

46163348616 has 128 divisors (see below), whose sum is σ = 144073128960. Its totient is φ = 11974867200.

The previous prime is 46163348611. The next prime is 46163348633. The reversal of 46163348616 is 61684336164.

46163348616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46163348611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438506 + ... + 1470246.

It is an arithmetic number, because the mean of its divisors is an integer number (1125571320).

Almost surely, 246163348616 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 46163348616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72036564480).

46163348616 is an abundant number, since it is smaller than the sum of its proper divisors (97909780344).

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

46163348616 is a wasteful number, since it uses less digits than its factorization.

46163348616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32555 (or 32551 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 46163348616 in words is "forty-six billion, one hundred sixty-three million, three hundred forty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 787 924 1574 1848 2361 3148 4722 5509 6296 8657 9444 11018 16527 17314 18888 22036 25971 31741 33054 34628 44072 51942 60599 63482 66108 69256 95223 103884 121198 126964 132216 181797 190446 207768 222187 242396 253928 349151 363594 380892 444374 484792 666561 698302 727188 761784 888748 1047453 1333122 1396604 1454376 1777496 2094906 2444057 2666244 2793208 4189812 4888114 5332488 7332171 8379624 9776228 14664342 19552456 24980167 29328684 49960334 58657368 74940501 99920668 149881002 174861169 199841336 274781837 299762004 349722338 524583507 549563674 599524008 699444676 824345511 1049167014 1099127348 1398889352 1648691022 1923472859 2098334028 2198254696 3297382044 3846945718 4196668056 5770418577 6594764088 7693891436 11540837154 15387782872 23081674308 46163348616