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30553193952 = 253361579713
BaseRepresentation
bin11100011101000111…
…001011110111100000
32220212022020001211000
4130131013023313200
51000033104201302
622011432552000
72131064602131
oct343507136740
986768201730
1030553193952
1111a59532916
125b08252600
132b5bb832b8
14169bac9c88
15bdc49d31c
hex71d1cbde0

30553193952 has 96 divisors (see below), whose sum is σ = 90574515360. Its totient is φ = 10017423360.

The previous prime is 30553193939. The next prime is 30553193987. The reversal of 30553193952 is 25939135503.

30553193952 is a `hidden beast` number, since 3 + 0 + 553 + 1 + 9 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30553193898 and 30553193907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237153 + ... + 342560.

It is an arithmetic number, because the mean of its divisors is an integer number (943484535).

Almost surely, 230553193952 is an apocalyptic number.

30553193952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30553193952 is an abundant number, since it is smaller than the sum of its proper divisors (60021321408).

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

30553193952 is a wasteful number, since it uses less digits than its factorization.

30553193952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579793 (or 579779 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The spelling of 30553193952 in words is "thirty billion, five hundred fifty-three million, one hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 52704 579713 1159426 1739139 2318852 3478278 4637704 5217417 6956556 9275408 10434834 13913112 15652251 18550816 20869668 27826224 31304502 35362493 41739336 55652448 62609004 70724986 83478672 106087479 125218008 141449972 166957344 212174958 250436016 282899944 318262437 424349916 500872032 565799888 636524874 848699832 954787311 1131599776 1273049748 1697399664 1909574622 2546099496 3394799328 3819149244 5092198992 7638298488 10184397984 15276596976 30553193952