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46214437864 = 2374722777351
BaseRepresentation
bin101011000010100110…
…000101101111101000
311102021202121200121211
4223002212011233220
51224121344002424
633121451442504
73224144145310
oct530246055750
9142252550554
1046214437864
1118665933201
128b59156434
1344866bc12a
142345a7a440
15130737bb94
hexac2985be8

46214437864 has 64 divisors (see below), whose sum is σ = 101584834560. Its totient is φ = 19299134400.

The previous prime is 46214437861. The next prime is 46214437963. The reversal of 46214437864 is 46873441264.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46214437861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558789 + ... + 636139.

It is an arithmetic number, because the mean of its divisors is an integer number (1587263040).

Almost surely, 246214437864 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 46214437864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50792417280).

46214437864 is an abundant number, since it is smaller than the sum of its proper divisors (55370396696).

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

46214437864 is a wasteful number, since it uses less digits than its factorization.

46214437864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77638 (or 77634 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 49.

The spelling of 46214437864 in words is "forty-six billion, two hundred fourteen million, four hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 227 329 376 454 658 908 1316 1589 1816 2632 3178 6356 10669 12712 21338 42676 74683 77351 85352 149366 154702 298732 309404 541457 597464 618808 1082914 2165828 3635497 4331656 7270994 14541988 17558677 25448479 29083976 35117354 50896958 70234708 101793916 122910739 140469416 203587832 245821478 491642956 825257819 983285912 1650515638 3301031276 5776804733 6602062552 11553609466 23107218932 46214437864