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103422858816 = 26313910193803
BaseRepresentation
bin110000001010001111…
…0111001011001000000
3100212221201100120211110
41200110132321121000
53143302222440231
6115302314443320
710320625536504
oct1402436713100
9325851316743
10103422858816
113a952564642
1218064133540
1399a29a9ca4
14501189c304
152a549aa046
hex18147b9640

103422858816 has 112 divisors (see below), whose sum is σ = 275951289600. Its totient is φ = 34183690752.

The previous prime is 103422858787. The next prime is 103422858823. The reversal of 103422858816 is 618858224301.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 27193171 + ... + 27196973.

It is an arithmetic number, because the mean of its divisors is an integer number (2463850800).

Almost surely, 2103422858816 is an apocalyptic number.

103422858816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103422858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137975644800).

103422858816 is an abundant number, since it is smaller than the sum of its proper divisors (172528430784).

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

103422858816 is a wasteful number, since it uses less digits than its factorization.

103422858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 103422858816 in words is "one hundred three billion, four hundred twenty-two million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1019 1112 1668 2038 2224 3057 3336 3803 4076 4448 6114 6672 7606 8152 8896 11409 12228 13344 15212 16304 22818 24456 26688 30424 32608 45636 48912 60848 65216 91272 97824 121696 141641 182544 195648 243392 283282 365088 424923 528617 566564 730176 849846 1057234 1133128 1585851 1699692 2114468 2266256 3171702 3399384 3875257 4228936 4532512 6343404 6798768 7750514 8457872 9065024 11625771 12686808 13597536 15501028 16915744 23251542 25373616 27195072 31002056 33831488 46503084 50747232 62004112 93006168 101494464 124008224 186012336 248016448 372024672 538660723 744049344 1077321446 1615982169 2154642892 3231964338 4309285784 6463928676 8618571568 12927857352 17237143136 25855714704 34474286272 51711429408 103422858816