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71804148832 = 25131919147563
BaseRepresentation
bin100001011011111011…
…1000101110001100000
320212100011011200210201
41002313313011301200
52134023330230312
652553020034544
75121242123533
oct1026767056140
9225304150721
1071804148832
11284a762a869
1211abb092a54
136a0415ac40
14369248ca1a
151d03bd8557
hex10b7dc5c60

71804148832 has 96 divisors (see below), whose sum is σ = 161093560320. Its totient is φ = 31231111680.

The previous prime is 71804148817. The next prime is 71804148869. The reversal of 71804148832 is 23884140817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485883 + ... + 1533445.

It is an arithmetic number, because the mean of its divisors is an integer number (1678057920).

Almost surely, 271804148832 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 71804148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80546780160).

71804148832 is an abundant number, since it is smaller than the sum of its proper divisors (89289411488).

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

71804148832 is a wasteful number, since it uses less digits than its factorization.

71804148832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47796 (or 47788 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 71804148832 in words is "seventy-one billion, eight hundred four million, one hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 191 208 247 304 382 416 494 608 764 988 1528 1976 2483 3056 3629 3952 4966 6112 7258 7904 9932 14516 19864 29032 39728 47177 47563 58064 79456 94354 95126 116128 188708 190252 377416 380504 618319 754832 761008 903697 1236638 1509664 1522016 1807394 2473276 3614788 4946552 7229576 9084533 9893104 11748061 14459152 18169066 19786208 23496122 28918304 36338132 46992244 72676264 93984488 118098929 145352528 172606127 187968976 236197858 290705056 345212254 375937952 472395716 690424508 944791432 1380849016 1889582864 2243879651 2761698032 3779165728 4487759302 5523396064 8975518604 17951037208 35902074416 71804148832