Search a number
-
+
2100677740464 = 243113293863017
BaseRepresentation
bin11110100100011010001…
…001101000011110110000
321102211012211202222100110
4132210122021220132300
5233404142000143324
64245012114221320
7304524516115212
oct36443211503660
97384184688313
102100677740464
1173a98a902376
1229b160884840
131231295bb474
147395d9325b2
153999b98e329
hex1e91a2687b0

2100677740464 has 40 divisors (see below), whose sum is σ = 5427231248560. Its totient is φ = 700163923968.

The previous prime is 2100677740397. The next prime is 2100677740477. The reversal of 2100677740464 is 4640477760012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387717 + ... + 2475300.

It is an arithmetic number, because the mean of its divisors is an integer number (135680781214).

Almost surely, 22100677740464 is an apocalyptic number.

2100677740464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100677740464 is an abundant number, since it is smaller than the sum of its proper divisors (3326553508096).

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

2100677740464 is a wasteful number, since it uses less digits than its factorization.

2100677740464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874357 (or 3874351 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 2100677740464 in words is "two trillion, one hundred billion, six hundred seventy-seven million, seven hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 11329 22658 33987 45316 67974 90632 135948 181264 271896 543792 3863017 7726034 11589051 15452068 23178102 30904136 46356204 61808272 92712408 185424816 43764119593 87528239186 131292358779 175056478372 262584717558 350112956744 525169435116 700225913488 1050338870232 2100677740464