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30630311552 = 2711317312241
BaseRepresentation
bin11100100001101101…
…010111011010000000
32221001200100001021102
4130201231113122000
51000212324432202
622023225513532
72133022231601
oct344155273200
987050301242
1030630311552
1111a99015475
125b2a0428a8
132b71b44709
1416a8041da8
15be4132d02
hex721b57680

30630311552 has 64 divisors (see below), whose sum is σ = 61922239560. Its totient is φ = 15090647040.

The previous prime is 30630311539. The next prime is 30630311573. The reversal of 30630311552 is 25511303603.

It can be written as a sum of positive squares in 4 ways, for example, as 20683041856 + 9947269696 = 143816^2 + 99736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2496152 + ... + 2508392.

Almost surely, 230630311552 is an apocalyptic number.

30630311552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30630311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30961119780).

30630311552 is an abundant number, since it is smaller than the sum of its proper divisors (31291928008).

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

30630311552 is a wasteful number, since it uses less digits than its factorization.

30630311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The spelling of 30630311552 in words is "thirty billion, six hundred thirty million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 113 128 173 226 346 452 692 904 1384 1808 2768 3616 5536 7232 11072 12241 14464 19549 22144 24482 39098 48964 78196 97928 156392 195856 312784 391712 625568 783424 1251136 1383233 1566848 2117693 2502272 2766466 4235386 5532932 8470772 11065864 16941544 22131728 33883088 44263456 67766176 88526912 135532352 177053824 239299309 271064704 478598618 957197236 1914394472 3828788944 7657577888 15315155776 30630311552