Search a number
-
+
100190770488 = 233223531141541
BaseRepresentation
bin101110101001111010…
…1011101010100111000
3100120121110121111011100
41131103311131110320
53120142314123423
6114005455531400
710144551332454
oct1352365352470
9316543544140
10100190770488
1139544094866
1217501829b60
1395a91b4aa3
144bc651d664
152915d6e343
hex1753d5d538

100190770488 has 96 divisors (see below), whose sum is σ = 288490494240. Its totient is φ = 31342122240.

The previous prime is 100190770441. The next prime is 100190770499. The reversal of 100190770488 is 884077091001.

100190770488 is a `hidden beast` number, since 10 + 0 + 1 + 90 + 7 + 70 + 488 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483003 + ... + 658538.

It is an arithmetic number, because the mean of its divisors is an integer number (3005109315).

Almost surely, 2100190770488 is an apocalyptic number.

100190770488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100190770488 is an abundant number, since it is smaller than the sum of its proper divisors (188299723752).

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

100190770488 is a wasteful number, since it uses less digits than its factorization.

100190770488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141629 (or 1141622 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 100190770488 in words is "one hundred billion, one hundred ninety million, seven hundred seventy thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 636 828 954 1219 1272 1656 1908 2438 3657 3816 4876 7314 9752 10971 14628 21942 29256 43884 87768 1141541 2283082 3424623 4566164 6849246 9132328 10273869 13698492 20547738 26255443 27396984 41095476 52510886 60501673 78766329 82190952 105021772 121003346 157532658 181505019 210043544 236298987 242006692 315065316 363010038 472597974 484013384 544515057 630130632 726020076 945195948 1089030114 1391538479 1452040152 1890391896 2178060228 2783076958 4174615437 4356120456 5566153916 8349230874 11132307832 12523846311 16698461748 25047692622 33396923496 50095385244 100190770488