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34232504564056 = 232931137263132103
BaseRepresentation
bin1111100100010011000000…
…10001100011100101011000
311111012121002002202002021111
413302021200101203211120
513441331132132022211
6200450110120550104
710132134242523241
oct762114021434530
9144177062662244
1034232504564056
11a9a8a184289a7
123a0a5a4622334
13161415a7888b6
14864c0d6d3cc8
153e56ecb60421
hex1f2260463958

34232504564056 has 128 divisors (see below), whose sum is σ = 69304506163200. Its totient is φ = 15815716439040.

The previous prime is 34232504564009. The next prime is 34232504564077. The reversal of 34232504564056 is 65046540523243.

It is a super-2 number, since 2×342325045640562 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 259068901 + ... + 259201003.

It is an arithmetic number, because the mean of its divisors is an integer number (541441454400).

Almost surely, 234232504564056 is an apocalyptic number.

It is an amenable number.

34232504564056 is an abundant number, since it is smaller than the sum of its proper divisors (35072001599144).

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

34232504564056 is a wasteful number, since it uses less digits than its factorization.

34232504564056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132569 (or 132565 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 49.

The spelling of 34232504564056 in words is "thirty-four trillion, two hundred thirty-two billion, five hundred four million, five hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 29 31 58 62 116 124 137 232 248 263 274 526 548 899 1052 1096 1798 2104 3596 3973 4247 7192 7627 7946 8153 8494 15254 15892 16306 16988 30508 31784 32612 33976 36031 61016 65224 72062 123163 132103 144124 236437 246326 264206 288248 472874 492652 528412 945748 985304 1044899 1056824 1116961 1891496 2089798 2233922 3830987 4095193 4179596 4467844 7661974 8190386 8359192 8935688 15323948 16380772 18098111 30647896 32391869 32761544 34743089 36196222 64783738 69486178 72392444 118760597 129567476 138972356 144784888 237521194 259134952 277944712 475042388 524845219 561041441 950084776 1007549581 1049690438 1077035759 1122082882 2015099162 2099380876 2154071518 2244165764 4030198324 4198761752 4308143036 4488331528 4759803193 8060396648 8616286072 9519606386 16270201789 19039212772 31234037011 32540403578 38078425544 62468074022 65080807156 124936148044 130161614312 138034292597 147553898983 249872296088 276068585194 295107797966 552137170388 590215595932 1104274340776 1180431191864 4279063070507 8558126141014 17116252282028 34232504564056