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30293535104 = 277376171481
BaseRepresentation
bin11100001101101000…
…101010100110000000
32220012012122000211122
4130031220222212000
5444020121110404
621525555331412
72121462541220
oct341550524600
986165560748
1030293535104
1111935a02328
125a552b0b68
132b1a13b401
141675418080
15bc47ac3be
hex70da2a980

30293535104 has 128 divisors (see below), whose sum is σ = 70998707520. Its totient is φ = 12603064320.

The previous prime is 30293535089. The next prime is 30293535113. The reversal of 30293535104 is 40153539203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20454044 + ... + 20455524.

Almost surely, 230293535104 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 30293535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35499353760).

30293535104 is an abundant number, since it is smaller than the sum of its proper divisors (40705172416).

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

30293535104 is a wasteful number, since it uses less digits than its factorization.

30293535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 30293535104 in words is "thirty billion, two hundred ninety-three million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 617 896 1036 1184 1234 1481 2072 2368 2468 2962 4144 4319 4736 4936 5924 8288 8638 9872 10367 11848 16576 17276 19744 20734 22829 23696 33152 34552 39488 41468 45658 47392 54797 69104 78976 82936 91316 94784 109594 138208 159803 165872 182632 189568 219188 276416 319606 331744 365264 383579 438376 552832 639212 663488 730528 767158 876752 913777 1278424 1326976 1461056 1534316 1753504 1827554 2556848 2922112 3068632 3507008 3655108 5113696 6137264 6396439 7014016 7310216 10227392 12274528 12792878 14620432 20454784 24549056 25585756 29240864 33809749 49098112 51171512 58481728 67619498 102343024 116963456 135238996 204686048 236668243 270477992 409372096 473336486 540955984 818744192 946672972 1081911968 1893345944 2163823936 3786691888 4327647872 7573383776 15146767552 30293535104