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30745120752 = 2434109217643
BaseRepresentation
bin11100101000100011…
…010100111111110000
32221100200100221220000
4130220203110333300
51000431222331002
622042450350000
72135615133363
oct345043247760
987320327800
1030745120752
1112047901305
125b6058b300
132b8c871a58
1416b93aa0da
15bee26061c
hex7288d4ff0

30745120752 has 100 divisors (see below), whose sum is σ = 89802090840. Its totient is φ = 10154305152.

The previous prime is 30745120751. The next prime is 30745120817. The reversal of 30745120752 is 25702154703.

30745120752 is a `hidden beast` number, since 3 + 0 + 74 + 512 + 0 + 75 + 2 = 666.

It is a super-2 number, since 2×307451207522 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30745120751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32443 + ... + 250085.

Almost surely, 230745120752 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 30745120752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44901045420).

30745120752 is an abundant number, since it is smaller than the sum of its proper divisors (59056970088).

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

30745120752 is a wasteful number, since it uses less digits than its factorization.

30745120752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217772 (or 217757 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 30745120752 in words is "thirty billion, seven hundred forty-five million, one hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 141264 217643 435286 652929 870572 1305858 1741144 1958787 2611716 3482288 3917574 5223432 5876361 7835148 10446864 11752722 15670296 17629083 23505444 23723087 31340592 35258166 47010888 47446174 70516332 71169261 94021776 94892348 141032664 142338522 189784696 213507783 282065328 284677044 379569392 427015566 569354088 640523349 854031132 1138708176 1281046698 1708062264 1921570047 2562093396 3416124528 3843140094 5124186792 7686280188 10248373584 15372560376 30745120752