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46764700038 = 23271978724821
BaseRepresentation
bin101011100011011001…
…001011000110000110
311110201010000220102100
4223203121023012012
51231233230400123
633252225452530
73243605251230
oct534331130606
9143633026370
1046764700038
11189184aa331
1290914a1146
1345436c1a54
142398b97250
15133a822643
hexae364b186

46764700038 has 96 divisors (see below), whose sum is σ = 122052752640. Its totient is φ = 12641520960.

The previous prime is 46764700001. The next prime is 46764700069. The reversal of 46764700038 is 83000746764.

It is a junction number, because it is equal to n+sod(n) for n = 46764699966 and 46764700002.

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 47 ways as a sum of consecutive naturals, for example, 1871668 + ... + 1896488.

It is an arithmetic number, because the mean of its divisors is an integer number (1271382840).

Almost surely, 246764700038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46764700038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61026376320).

46764700038 is an abundant number, since it is smaller than the sum of its proper divisors (75288052602).

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

46764700038 is a wasteful number, since it uses less digits than its factorization.

46764700038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25642 (or 25639 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 46764700038 in words is "forty-six billion, seven hundred sixty-four million, seven hundred thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 787 798 1197 1574 2361 2394 4722 5509 7083 11018 14166 14953 16527 24821 29906 33054 44859 49581 49642 74463 89718 99162 104671 134577 148926 173747 209342 223389 269154 314013 347494 446778 471599 521241 628026 942039 943198 1042482 1414797 1563723 1884078 2829594 3127446 3301193 4244391 6602386 8488782 9903579 19534127 19807158 29710737 39068254 58602381 59421474 117204762 136738889 175807143 273477778 351614286 371148413 410216667 742296826 820433334 1113445239 1230650001 2226890478 2461300002 2598038891 3340335717 5196077782 6680671434 7794116673 15588233346 23382350019 46764700038