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46913144192 = 273137536029
BaseRepresentation
bin101011101100001111…
…011100010110000000
311111002110100122111222
4223230033130112000
51232034231103232
633315051254212
73250360101065
oct535417342600
9144073318458
1046913144192
1118994279652
12911314a368
134568397725
1423b0798c6c
151348895d12
hexaec3dc580

46913144192 has 128 divisors (see below), whose sum is σ = 100968249600. Its totient is φ = 21666078720.

The previous prime is 46913144167. The next prime is 46913144231. The reversal of 46913144192 is 29144131964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 7778234 + ... + 7784262.

It is an arithmetic number, because the mean of its divisors is an integer number (788814450).

Almost surely, 246913144192 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 46913144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50484124800).

46913144192 is an abundant number, since it is smaller than the sum of its proper divisors (54055105408).

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

46913144192 is a wasteful number, since it uses less digits than its factorization.

46913144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6152 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The spelling of 46913144192 in words is "forty-six billion, nine hundred thirteen million, one hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 37 53 62 64 74 106 124 128 148 212 248 296 424 496 592 848 992 1147 1184 1643 1696 1961 1984 2294 2368 3286 3392 3922 3968 4588 4736 6029 6572 6784 7844 9176 12058 13144 15688 18352 24116 26288 31376 36704 48232 52576 60791 62752 73408 96464 105152 121582 125504 146816 186899 192928 210304 223073 243164 251008 319537 373798 385856 446146 486328 639074 747596 771712 892292 972656 1278148 1495192 1784584 1945312 2556296 2990384 3569168 3890624 5112592 5980768 6915263 7138336 7781248 9905647 10225184 11822869 11961536 13830526 14276672 19811294 20450368 23645738 23923072 27661052 28553344 39622588 40900736 47291476 55322104 79245176 94582952 110644208 158490352 189165904 221288416 316980704 366508939 378331808 442576832 633961408 733017878 756663616 885153664 1267922816 1466035756 1513327232 2932071512 5864143024 11728286048 23456572096 46913144192