Search a number
-
+
106264435123554 = 23149118864021391
BaseRepresentation
bin11000001010010110011101…
…111010000110010101100010
3111221020210002012012012011220
4120022112131322012111202
5102412014030342423204
61014001112500115510
731245231523131501
oct3012263572062542
9457223065165156
10106264435123554
113094a548356854
12bb02914395b96
13473a902062146
141c353245d4838
15c442ad9a51d9
hex60a59de86562

106264435123554 has 16 divisors (see below), whose sum is σ = 213955238505600. Its totient is φ = 35183750331440.

The previous prime is 106264435123547. The next prime is 106264435123571. The reversal of 106264435123554 is 455321534462601.

106264435123554 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062644351235542 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106264435123497 and 106264435123506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59432009802 + ... + 59432011589.

It is an arithmetic number, because the mean of its divisors is an integer number (13372202406600).

Almost surely, 2106264435123554 is an apocalyptic number.

106264435123554 is an abundant number, since it is smaller than the sum of its proper divisors (107690803382046).

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

106264435123554 is a wasteful number, since it uses less digits than its factorization.

106264435123554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118864021545.

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 106264435123554 in words is "one hundred six trillion, two hundred sixty-four billion, four hundred thirty-five million, one hundred twenty-three thousand, five hundred fifty-four".

Divisors: 1 2 3 6 149 298 447 894 118864021391 237728042782 356592064173 713184128346 17710739187259 35421478374518 53132217561777 106264435123554