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30605032764 = 22334326924499
BaseRepresentation
bin11100100000001100…
…111011110100111100
32220222220202202022000
4130200030323310330
51000134342022024
622020524022300
72132264325525
oct344014736474
986886682260
1030605032764
1111a8581a109
125b21691990
132b69833657
1416a494184c
15be1cdccc9
hex72033bd3c

30605032764 has 96 divisors (see below), whose sum is σ = 81496800000. Its totient is φ = 9926981568.

The previous prime is 30605032741. The next prime is 30605032793. The reversal of 30605032764 is 46723050603.

30605032764 is a `hidden beast` number, since 30 + 60 + 503 + 2 + 7 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236987 + ... + 1261485.

It is an arithmetic number, because the mean of its divisors is an integer number (848925000).

Almost surely, 230605032764 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 30605032764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40748400000).

30605032764 is an abundant number, since it is smaller than the sum of its proper divisors (50891767236).

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

30605032764 is a wasteful number, since it uses less digits than its factorization.

30605032764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24824 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 30605032764 in words is "thirty billion, six hundred five million, thirty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 269 387 516 538 774 807 1076 1161 1548 1614 2322 2421 3228 4644 4842 7263 9684 11567 14526 23134 24499 29052 34701 46268 48998 69402 73497 97996 104103 138804 146994 208206 220491 293988 312309 416412 440982 624618 661473 881964 1053457 1249236 1322946 2106914 2645892 3160371 4213828 6320742 6590231 9481113 12641484 13180462 18962226 19770693 26360924 28443339 37924452 39541386 56886678 59312079 79082772 113773356 118624158 177936237 237248316 283379933 355872474 566759866 711744948 850139799 1133519732 1700279598 2550419397 3400559196 5100838794 7651258191 10201677588 15302516382 30605032764