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50345679488 = 271361895573
BaseRepresentation
bin101110111000110101…
…100001101010000000
311210221200021111201212
4232320311201222000
51311101443220423
635043430345252
73431420133446
oct567065415200
9153850244655
1050345679488
111a395907185
1299107bb228
1349945724c0
1426185d4b96
151499dc8578
hexbb8d61a80

50345679488 has 128 divisors (see below), whose sum is σ = 111037424400. Its totient is φ = 22594682880.

The previous prime is 50345679481. The next prime is 50345679521. The reversal of 50345679488 is 88497654305.

It can be written as a sum of positive squares in 8 ways, for example, as 1377300544 + 48968378944 = 37112^2 + 221288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50345679481) 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, 9031070 + ... + 9036642.

Almost surely, 250345679488 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 50345679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55518712200).

50345679488 is an abundant number, since it is smaller than the sum of its proper divisors (60691744912).

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

50345679488 is a wasteful number, since it uses less digits than its factorization.

50345679488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 59.

The spelling of 50345679488 in words is "fifty billion, three hundred forty-five million, six hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 89 104 122 128 178 208 244 356 416 488 712 793 832 976 1157 1424 1586 1664 1952 2314 2848 3172 3904 4628 5429 5573 5696 6344 7808 9256 10858 11146 11392 12688 18512 21716 22292 25376 37024 43432 44584 50752 70577 72449 74048 86864 89168 101504 141154 144898 148096 173728 178336 282308 289796 339953 347456 356672 495997 564616 579592 679906 694912 713344 991994 1129232 1159184 1359812 1983988 2258464 2318368 2719624 3967976 4419389 4516928 4636736 5439248 6447961 7935952 8838778 9033856 9273472 10878496 12895922 15871904 17677556 21756992 25791844 30255817 31743808 35355112 43513984 51583688 60511634 63487616 70710224 103167376 121023268 141420448 206334752 242046536 282840896 393325621 412669504 484093072 565681792 786651242 825339008 968186144 1573302484 1936372288 3146604968 3872744576 6293209936 12586419872 25172839744 50345679488