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2913729804 = 2232313497481
BaseRepresentation
bin1010110110101011…
…1111110100001100
321112001200210212200
42231222333310030
521431403323204
61201043201500
7132130203036
oct25552776414
97461623780
102913729804
1112657a7367
12693976290
1337586a19b
141d8d8ac56
15120c02539
hexadabfd0c

2913729804 has 72 divisors (see below), whose sum is σ = 7625654400. Its totient is φ = 937094400.

The previous prime is 2913729803. The next prime is 2913729827. The reversal of 2913729804 is 4089273192.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2913729804.

It is not an unprimeable number, because it can be changed into a prime (2913729803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385744 + ... + 393224.

Almost surely, 22913729804 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 2913729804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812827200).

2913729804 is an abundant number, since it is smaller than the sum of its proper divisors (4711924596).

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

2913729804 is a wasteful number, since it uses less digits than its factorization.

2913729804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2913729804 is about 53978.9755738287. The cubic root of 2913729804 is about 1428.2900983019.

The spelling of 2913729804 in words is "two billion, nine hundred thirteen million, seven hundred twenty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 349 372 558 698 1047 1116 1396 2094 3141 4188 6282 7481 10819 12564 14962 21638 22443 29924 32457 43276 44886 64914 67329 89772 97371 129828 134658 194742 231911 269316 389484 463822 695733 927644 1391466 2087199 2610869 2782932 4174398 5221738 7832607 8348796 10443476 15665214 23497821 31330428 46995642 80936939 93991284 161873878 242810817 323747756 485621634 728432451 971243268 1456864902 2913729804