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746189964 = 22321319312707
BaseRepresentation
bin101100011110011…
…111010010001100
31221000002101012100
4230132133102030
53012011034324
6202013235100
724330336642
oct5436372214
91830071170
10746189964
11353228623
12189a92a90
13bb792530
147115d192
15457984c9
hex2c79f48c

746189964 has 144 divisors (see below), whose sum is σ = 2207994880. Its totient is φ = 210418560.

The previous prime is 746189953. The next prime is 746189971. The reversal of 746189964 is 469981647.

It is a self number, because there is not a number n which added to its sum of digits gives 746189964.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274299 + ... + 277005.

Almost surely, 2746189964 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 746189964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103997440).

746189964 is an abundant number, since it is smaller than the sum of its proper divisors (1461804916).

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

746189964 is a wasteful number, since it uses less digits than its factorization.

746189964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 746189964 is about 27316.4778842368. The cubic root of 746189964 is about 907.0191738314.

The spelling of 746189964 in words is "seven hundred forty-six million, one hundred eighty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 372 403 468 494 558 589 684 741 806 988 1116 1178 1209 1482 1612 1767 2223 2356 2418 2707 2964 3534 3627 4446 4836 5301 5414 7068 7254 7657 8121 8892 10602 10828 14508 15314 16242 21204 22971 24363 30628 32484 35191 45942 48726 51433 68913 70382 83917 91884 97452 102866 105573 137826 140764 154299 167834 205732 211146 251751 275652 308598 316719 335668 422292 462897 503502 617196 633438 668629 755253 925794 1007004 1090921 1266876 1337258 1510506 1594423 1851588 2005887 2181842 2674516 3021012 3188846 3272763 4011774 4363684 4783269 6017661 6377692 6545526 8023548 9566538 9818289 12035322 13091052 14349807 19133076 19636578 20727499 24070644 28699614 39273156 41454998 57399228 62182497 82909996 124364994 186547491 248729988 373094982 746189964