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2145122152884 = 2232173505101557
BaseRepresentation
bin11111001101110011001…
…111100111000110110100
321121001221020210001112100
4133031303033213012310
5240121202232343014
64321242220222100
7310660061310504
oct37156317470664
97531836701470
102145122152884
11757817594227
122a78a509a930
13127390383a59
1475b78499a04
153abed734009
hex1f3733e71b4

2145122152884 has 36 divisors (see below), whose sum is σ = 5741356352004. Its totient is φ = 672979498752.

The previous prime is 2145122152871. The next prime is 2145122152889. The reversal of 2145122152884 is 4882512215412.

2145122152884 is a `hidden beast` number, since 2 + 1 + 4 + 512 + 2 + 1 + 52 + 8 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141418730384 + 1003703422500 = 1068372^2 + 1001850^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145122152889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752550167 + ... + 1752551390.

It is an arithmetic number, because the mean of its divisors is an integer number (159482120889).

Almost surely, 22145122152884 is an apocalyptic number.

It is an amenable number.

2145122152884 is an abundant number, since it is smaller than the sum of its proper divisors (3596234199120).

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

2145122152884 is a wasteful number, since it uses less digits than its factorization.

2145122152884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505101584 (or 3505101579 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The spelling of 2145122152884 in words is "two trillion, one hundred forty-five billion, one hundred twenty-two million, one hundred fifty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3505101557 7010203114 10515304671 14020406228 21030609342 31545914013 42061218684 59586726469 63091828026 119173452938 126183656052 178760179407 238346905876 357520358814 536280538221 715040717628 1072561076442 2145122152884