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120809716404 = 2231310320813613
BaseRepresentation
bin111000010000011010…
…0011111101010110100
3102112211102210110120220
41300200310133222310
53434404241411104
6131255455254340
711504530434426
oct1604064375264
9375742713526
10120809716404
1147264a32033
121b4b6b1a3b0
13b513b8c9c0
145bc0ac0816
1532210eb7d9
hex1c20d1fab4

120809716404 has 96 divisors (see below), whose sum is σ = 306752619264. Its totient is φ = 36783452160.

The previous prime is 120809716403. The next prime is 120809716411. The reversal of 120809716404 is 404617908021.

It is a super-2 number, since 2×1208097164042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120809716403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33435702 + ... + 33439314.

It is an arithmetic number, because the mean of its divisors is an integer number (3195339784).

Almost surely, 2120809716404 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 120809716404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153376309632).

120809716404 is an abundant number, since it is smaller than the sum of its proper divisors (185942902860).

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

120809716404 is a wasteful number, since it uses less digits than its factorization.

120809716404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 120809716404 in words is "one hundred twenty billion, eight hundred nine million, seven hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2081 2678 3613 4017 4162 5356 6243 7226 8034 8324 10839 12486 14452 16068 21678 24972 27053 43356 46969 54106 81159 93938 108212 140907 162318 187876 214343 281814 324636 372139 428686 563628 643029 744278 857372 1116417 1286058 1488556 2232834 2572116 2786459 4465668 4837807 5572918 7518653 8359377 9675614 11145836 14513421 15037306 16718754 19351228 22555959 29026842 30074612 33437508 45111918 58053684 90223836 97742489 195484978 293227467 390969956 586454934 774421259 1172909868 1548842518 2323263777 3097685036 4646527554 9293055108 10067476367 20134952734 30202429101 40269905468 60404858202 120809716404