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30213520544 = 25232911312527
BaseRepresentation
bin11100001000110111…
…011011110010100000
32212222122001212111102
4130020313123302200
5443334130124134
621514020333532
72116501454504
oct341067336240
985878055442
1030213520544
11118a4821199
125a325442a8
132b066a450c
14166894a304
15bbc75437e
hex708ddbca0

30213520544 has 96 divisors (see below), whose sum is σ = 64782789120. Its totient is φ = 13827100672.

The previous prime is 30213520541. The next prime is 30213520591. The reversal of 30213520544 is 44502531203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (30213520541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405609 + ... + 2418135.

It is an arithmetic number, because the mean of its divisors is an integer number (674820720).

Almost surely, 230213520544 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 30213520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32391394560).

30213520544 is an abundant number, since it is smaller than the sum of its proper divisors (34569268576).

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

30213520544 is a wasteful number, since it uses less digits than its factorization.

30213520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 30213520544 in words is "thirty billion, two hundred thirteen million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 113 116 184 226 232 368 452 464 667 736 904 928 1334 1808 2599 2668 3277 3616 5198 5336 6554 10396 10672 12527 13108 20792 21344 25054 26216 41584 50108 52432 75371 83168 100216 104864 150742 200432 288121 301484 363283 400864 576242 602968 726566 1152484 1205936 1415551 1453132 2304968 2411872 2831102 2906264 4609936 5662204 5812528 8355509 9219872 11324408 11625056 16711018 22648816 32557673 33422036 41050979 45297632 65115346 66844072 82101958 130230692 133688144 164203916 260461384 267376288 328407832 520922768 656815664 944172517 1041845536 1313631328 1888345034 3776690068 7553380136 15106760272 30213520544