Search a number
-
+
71923214304 = 2533174896733
BaseRepresentation
bin100001011111011110…
…1010010011111100000
320212122110012211221000
41002332331102133200
52134244320324204
653012512032000
75124216143304
oct1027675223740
9225573184830
1071923214304
1128558863487
1211b32b32600
136a22a18696
1436a4203d04
151d0e3a7039
hex10bef527e0

71923214304 has 96 divisors (see below), whose sum is σ = 222115854240. Its totient is φ = 22564141056.

The previous prime is 71923214281. The next prime is 71923214351. The reversal of 71923214304 is 40341232917.

It is a happy number.

71923214304 is a `hidden beast` number, since 7 + 192 + 32 + 1 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×719232143042 (a number of 23 digits) contains 22 as substring.

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

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, 2433679 + ... + 2463054.

It is an arithmetic number, because the mean of its divisors is an integer number (2313706815).

Almost surely, 271923214304 is an apocalyptic number.

It is an amenable number.

71923214304 is an abundant number, since it is smaller than the sum of its proper divisors (150192639936).

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

71923214304 is a wasteful number, since it uses less digits than its factorization.

71923214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896769 (or 4896755 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 71923214304 in words is "seventy-one billion, nine hundred twenty-three million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 4896733 9793466 14690199 19586932 29380398 39173864 44070597 58760796 78347728 83244461 88141194 117521592 132211791 156695456 166488922 176282388 235043184 249733383 264423582 332977844 352564776 470086368 499466766 528847164 665955688 705129552 749200149 998933532 1057694328 1331911376 1410259104 1498400298 1997867064 2115388656 2247600447 2663822752 2996800596 3995734128 4230777312 4495200894 5993601192 7991468256 8990401788 11987202384 17980803576 23974404768 35961607152 71923214304