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47104012692 = 2232111747148873
BaseRepresentation
bin101011110111100111…
…100011000110010100
311111120202111202212200
4223313213203012110
51232432111401232
633350030244500
73255165334032
oct536747430624
9144522452780
1047104012692
1118a81a94a10
129167056730
134598aa5579
1423cbc81552
15135a4e977c
hexaf79e3194

47104012692 has 144 divisors (see below), whose sum is σ = 140460832512. Its totient is φ = 13148375040.

The previous prime is 47104012567. The next prime is 47104012693. The reversal of 47104012692 is 29621040174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47104012693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241968 + ... + 390840.

It is an arithmetic number, because the mean of its divisors is an integer number (975422448).

Almost surely, 247104012692 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 47104012692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70230416256).

47104012692 is an abundant number, since it is smaller than the sum of its proper divisors (93356819820).

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

47104012692 is a wasteful number, since it uses less digits than its factorization.

47104012692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148958 (or 148953 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47104012692 in words is "forty-seven billion, one hundred four million, twelve thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 47 51 66 68 94 99 102 132 141 153 187 188 198 204 282 306 374 396 423 517 561 564 612 748 799 846 1034 1122 1551 1598 1683 1692 2068 2244 2397 3102 3196 3366 4653 4794 6204 6732 7191 8789 9306 9588 14382 17578 18612 26367 28764 35156 52734 79101 105468 148873 158202 297746 316404 446619 595492 893238 1339857 1637603 1786476 2530841 2679714 3275206 4912809 5061682 5359428 6550412 6997031 7592523 9825618 10123364 13994062 14738427 15185046 19651236 20991093 22777569 27839251 27988124 29476854 30370092 41982186 45555138 55678502 58953708 62973279 76967341 83517753 83964372 91110276 111357004 118949527 125946558 153934682 167035506 230902023 237899054 250553259 251893116 307869364 334071012 356848581 461804046 475798108 501106518 692706069 713697162 923608092 1002213036 1070545743 1308444797 1385412138 1427394324 2141091486 2616889594 2770824276 3925334391 4282182972 5233779188 7850668782 11776003173 15701337564 23552006346 47104012692