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30546925952 = 271274793923
BaseRepresentation
bin11100011100101111…
…010001100110000000
32220211212102121201212
4130130233101212000
51000030003112302
622011050345252
72130660405104
oct343457214600
986755377655
1030546925952
1111a55a41654
125b0612b228
132b5a79a31a
14169ad37904
15bdbb61052
hex71cbd1980

30546925952 has 64 divisors (see below), whose sum is σ = 61478092800. Its totient is φ = 15117709824.

The previous prime is 30546925951. The next prime is 30546925987. The reversal of 30546925952 is 25952964503.

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

It is a super-2 number, since 2×305469259522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30546925952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30546925951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7784663 + ... + 7788585.

It is an arithmetic number, because the mean of its divisors is an integer number (960595200).

Almost surely, 230546925952 is an apocalyptic number.

30546925952 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 30546925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30739046400).

30546925952 is an abundant number, since it is smaller than the sum of its proper divisors (30931166848).

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

30546925952 is a wasteful number, since it uses less digits than its factorization.

30546925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 30546925952 in words is "thirty billion, five hundred forty-six million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 479 508 958 1016 1916 2032 3832 3923 4064 7664 7846 8128 15328 15692 16256 30656 31384 60833 61312 62768 121666 125536 243332 251072 486664 498221 502144 973328 996442 1879117 1946656 1992884 3758234 3893312 3985768 7516468 7786624 7971536 15032936 15943072 30065872 31886144 60131744 63772288 120263488 238647859 240526976 477295718 954591436 1909182872 3818365744 7636731488 15273462976 30546925952