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30538953952 = 2513177160821
BaseRepresentation
bin11100011100010000…
…110111010011100000
32220211022102121012121
4130130100313103200
51000020433011302
622010203434024
72130532553113
oct343420672340
986738377177
1030538953952
1111a51497121
125b03525914
132b58c38870
141699c6057a
15bdb0d8e37
hex71c4374e0

30538953952 has 96 divisors (see below), whose sum is σ = 69523925184. Its totient is φ = 13078732800.

The previous prime is 30538953941. The next prime is 30538953953. The reversal of 30538953952 is 25935983503.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 30538953952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30538953953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471702 + ... + 532522.

It is an arithmetic number, because the mean of its divisors is an integer number (724207554).

Almost surely, 230538953952 is an apocalyptic number.

30538953952 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 30538953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34761962592).

30538953952 is an abundant number, since it is smaller than the sum of its proper divisors (38984971232).

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

30538953952 is a wasteful number, since it uses less digits than its factorization.

30538953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60932 (or 60924 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 52.

The spelling of 30538953952 in words is "thirty billion, five hundred thirty-eight million, nine hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 71 104 136 142 208 221 272 284 416 442 544 568 884 923 1136 1207 1768 1846 2272 2414 3536 3692 4828 7072 7384 9656 14768 15691 19312 29536 31382 38624 60821 62764 121642 125528 243284 251056 486568 502112 790673 973136 1033957 1581346 1946272 2067914 3162692 4135828 4318291 6325384 8271656 8636582 12650768 13441441 16543312 17273164 25301536 26882882 33086624 34546328 53765764 56137783 69092656 73410947 107531528 112275566 138185312 146821894 215063056 224551132 293643788 430126112 449102264 587287576 898204528 954342311 1174575152 1796409056 1908684622 2349150304 3817369244 7634738488 15269476976 30538953952