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30663224004 = 2237798835233
BaseRepresentation
bin11100100011101010…
…111010101011000100
32221010222021011200010
4130203222322223010
51000244241132004
622030403150220
72133602050350
oct344352725304
987128234603
1030663224004
1112005655046
125b39075370
132b788c923a
1416ac56c460
15be6e84a89
hex723abaac4

30663224004 has 96 divisors (see below), whose sum is σ = 82913259520. Its totient is φ = 8638576128.

The previous prime is 30663223991. The next prime is 30663224021. The reversal of 30663224004 is 40042236603.

It is a happy number.

It is a super-3 number, since 3×306632240043 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5856972 + ... + 5862204.

Almost surely, 230663224004 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 30663224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456629760).

30663224004 is an abundant number, since it is smaller than the sum of its proper divisors (52250035516).

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

30663224004 is a wasteful number, since it uses less digits than its factorization.

30663224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3066 and 3224004, that added together give a triangular number (3227070 = T2540).

The spelling of 30663224004 in words is "thirty billion, six hundred sixty-three million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 883 948 1106 1659 1766 2212 2649 3318 3532 5233 5298 6181 6636 10466 10596 12362 15699 18543 20932 24724 31398 36631 37086 62796 69757 73262 74172 109893 139514 146524 209271 219786 279028 413407 418542 439572 488299 826814 837084 976598 1240221 1464897 1653628 1953196 2480442 2893849 2929794 4620739 4960884 5787698 5859588 8681547 9241478 11575396 13862217 17363094 18482956 27724434 32345173 34726188 55448868 64690346 97035519 129380692 194071038 365038381 388142076 730076762 1095115143 1460153524 2190230286 2555268667 4380460572 5110537334 7665806001 10221074668 15331612002 30663224004