Search a number
-
+
30574675472 = 2411417183719
BaseRepresentation
bin11100011110011001…
…001000011000010000
32220220210122102220212
4130132121020120100
51000104104103342
622013521223252
72131445311355
oct343631103020
986823572825
1030574675472
1111a6a675240
125b13491b28
132b63464b63
1416a08bc62c
15bde2e3182
hex71e648610

30574675472 has 160 divisors (see below), whose sum is σ = 68035645440. Its totient is φ = 13188224000.

The previous prime is 30574675471. The next prime is 30574675489. The reversal of 30574675472 is 27457647503.

It is a self number, because there is not a number n which added to its sum of digits gives 30574675472.

It is not an unprimeable number, because it can be changed into a prime (30574675471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42523529 + ... + 42524247.

It is an arithmetic number, because the mean of its divisors is an integer number (425222784).

Almost surely, 230574675472 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 30574675472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017822720).

30574675472 is an abundant number, since it is smaller than the sum of its proper divisors (37460969968).

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

30574675472 is a wasteful number, since it uses less digits than its factorization.

30574675472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 50.

The spelling of 30574675472 in words is "thirty billion, five hundred seventy-four million, six hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 41 44 71 82 83 88 142 164 166 176 284 328 332 451 568 656 664 719 781 902 913 1136 1328 1438 1562 1804 1826 2876 2911 3124 3403 3608 3652 5752 5822 5893 6248 6806 7216 7304 7909 11504 11644 11786 12496 13612 14608 15818 23288 23572 27224 29479 31636 32021 37433 46576 47144 51049 54448 58958 59677 63272 64042 64823 74866 94288 102098 117916 119354 126544 128084 129646 149732 204196 235832 238708 241613 256168 259292 299464 324269 408392 471664 477416 483226 512336 518584 561539 598928 648538 656447 816784 954832 966452 1037168 1123078 1297076 1312894 1932904 2093009 2246156 2446757 2594152 2625788 2657743 3865808 4186018 4237067 4492312 4893514 5188304 5251576 5315486 8372036 8474134 8984624 9787028 10503152 10630972 16744072 16948268 19574056 21261944 23023099 26914327 33488144 33896536 39148112 42523888 46046198 46607737 53828654 67793072 92092396 93215474 107657308 173719747 184184792 186430948 215314616 347439494 368369584 372861896 430629232 694878988 745723792 1389757976 1910917217 2779515952 3821834434 7643668868 15287337736 30574675472