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115850142048 = 25311344324107
BaseRepresentation
bin110101111100100110…
…1001110000101100000
3102002000210110222120210
41223321031032011200
53344230114021143
6125115410334120
711240605650114
oct1537115160540
9362023428523
10115850142048
114514a426453
121a551b8a340
13ac03516614
145870143744
1530309cd033
hex1af934e160

115850142048 has 96 divisors (see below), whose sum is σ = 307503133056. Its totient is φ = 38186989568.

The previous prime is 115850142047. The next prime is 115850142049. The reversal of 115850142048 is 840241058511.

It is an interprime number because it is at equal distance from previous prime (115850142047) and next prime (115850142049).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 115850141997 and 115850142015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115850142047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4793611 + ... + 4817717.

It is an arithmetic number, because the mean of its divisors is an integer number (3203157636).

Almost surely, 2115850142048 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 115850142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153751566528).

115850142048 is an abundant number, since it is smaller than the sum of its proper divisors (191652991008).

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

115850142048 is a wasteful number, since it uses less digits than its factorization.

115850142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24676 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The spelling of 115850142048 in words is "one hundred fifteen billion, eight hundred fifty million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 443 452 678 886 904 1329 1356 1772 1808 2658 2712 3544 3616 5316 5424 7088 10632 10848 14176 21264 24107 42528 48214 50059 72321 96428 100118 144642 150177 192856 200236 289284 300354 385712 400472 578568 600708 771424 800944 1157136 1201416 1601888 2314272 2402832 2724091 4805664 5448182 8172273 10679401 10896364 16344546 21358802 21792728 32038203 32689092 42717604 43585456 64076406 65378184 85435208 87170912 128152812 130756368 170870416 256305624 261512736 341740832 512611248 1025222496 1206772313 2413544626 3620316939 4827089252 7240633878 9654178504 14481267756 19308357008 28962535512 38616714016 57925071024 115850142048