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100677740680 = 235111713459591
BaseRepresentation
bin101110111000011011…
…1000110100010001000
3100121212101221010200101
41131300313012202020
53122142000200210
6114130053215144
710162613450566
oct1356067064210
9317771833611
10100677740680
1139773a61770
12176189314b4
13965605722a
144c31082a36
1529439b1a3a
hex1770dc6888

100677740680 has 64 divisors (see below), whose sum is σ = 261654468480. Its totient is φ = 34456550400.

The previous prime is 100677740677. The next prime is 100677740687. The reversal of 100677740680 is 86047776001.

It is a self number, because there is not a number n which added to its sum of digits gives 100677740680.

It is not an unprimeable number, because it can be changed into a prime (100677740687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6722316 + ... + 6737275.

It is an arithmetic number, because the mean of its divisors is an integer number (4088351070).

Almost surely, 2100677740680 is an apocalyptic number.

100677740680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100677740680 is an abundant number, since it is smaller than the sum of its proper divisors (160976727800).

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

100677740680 is a wasteful number, since it uses less digits than its factorization.

100677740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13459630 (or 13459626 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 100677740680 in words is "one hundred billion, six hundred seventy-seven million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 13459591 26919182 53838364 67297955 107676728 134595910 148055501 228813047 269191820 296111002 457626094 538383640 592222004 740277505 915252188 1144065235 1184444008 1480555010 1830504376 2288130470 2516943517 2961110020 4576260940 5033887034 5922220040 9152521880 10067774068 12584717585 20135548136 25169435170 50338870340 100677740680