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46149916720 = 245737902383
BaseRepresentation
bin101010111110101111…
…111101100000110000
311102010021012200020211
4222332233331200300
51224003334313340
633111224513504
73222431551105
oct527657754060
9142107180224
1046149916720
1118632474546
128b3b61b894
13447621b33b
14233b282aac
1513018845ea
hexabebfd830

46149916720 has 40 divisors (see below), whose sum is σ = 108768413376. Its totient is φ = 18207088128.

The previous prime is 46149916693. The next prime is 46149916723. The reversal of 46149916720 is 2761994164.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×461499167204 (a number of 44 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46149916723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3945352 + ... + 3957031.

Almost surely, 246149916720 is an apocalyptic number.

46149916720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46149916720 is an abundant number, since it is smaller than the sum of its proper divisors (62618496656).

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

46149916720 is a wasteful number, since it uses less digits than its factorization.

46149916720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902469 (or 7902463 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 46149916720 in words is "forty-six billion, one hundred forty-nine million, nine hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7902383 15804766 31609532 39511915 63219064 79023830 126438128 158047660 316095320 576873959 632190640 1153747918 2307495836 2884369795 4614991672 5768739590 9229983344 11537479180 23074958360 46149916720