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107978380050 = 23523131374189
BaseRepresentation
bin110010010010000000…
…0110101001100010010
3101022201012101001011010
41210210000311030102
53232114431130200
6121334331231350
710541543041512
oct1444400651422
9338635331133
10107978380050
114187aa87122
1218b158a8556
13a24a722c98
1453248db842
152c1e8b4150
hex1924035312

107978380050 has 96 divisors (see below), whose sum is σ = 277311536640. Its totient is φ = 27775987200.

The previous prime is 107978380007. The next prime is 107978380063. The reversal of 107978380050 is 50083879701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418356 + ... + 1492544.

It is an arithmetic number, because the mean of its divisors is an integer number (2888661840).

Almost surely, 2107978380050 is an apocalyptic number.

107978380050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107978380050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138655768320).

107978380050 is an abundant number, since it is smaller than the sum of its proper divisors (169333156590).

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

107978380050 is a wasteful number, since it uses less digits than its factorization.

107978380050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74548 (or 74543 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 107978380050 in words is "one hundred seven billion, nine hundred seventy-eight million, three hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 313 465 626 775 930 939 1550 1565 1878 2325 3130 4650 4695 7825 9390 9703 15650 19406 23475 29109 46950 48515 58218 74189 97030 145545 148378 222567 242575 291090 370945 445134 485150 727725 741890 1112835 1455450 1854725 2225670 2299859 3709450 4599718 5564175 6899577 11128350 11499295 13799154 22998590 23221157 34497885 46442314 57496475 68995770 69663471 114992950 116105785 139326942 172489425 232211570 344978850 348317355 580528925 696634710 719855867 1161057850 1439711734 1741586775 2159567601 3483173550 3599279335 4319135202 7198558670 10797838005 17996396675 21595676010 35992793350 53989190025 107978380050