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2158952910432 = 253311275712241
BaseRepresentation
bin11111011010101011100…
…111110000111001100000
321122101122010210100002220
4133122223213300321200
5240333013421113212
64331450445311040
7311656602644013
oct37325347607140
97571563710086
102158952910432
117626746a806a
122aa504b65480
131287858b7366
14766cb2b937a
153b25ca8638c
hex1f6ab9f0e60

2158952910432 has 96 divisors (see below), whose sum is σ = 5896130494464. Its totient is φ = 690952550400.

The previous prime is 2158952910427. The next prime is 2158952910437. The reversal of 2158952910432 is 2340192598512.

It is an interprime number because it is at equal distance from previous prime (2158952910427) and next prime (2158952910437).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21589529104322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158952910437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478169 + ... + 3234072.

It is an arithmetic number, because the mean of its divisors is an integer number (61418025984).

Almost surely, 22158952910432 is an apocalyptic number.

It is an amenable number.

2158952910432 is an abundant number, since it is smaller than the sum of its proper divisors (3737177584032).

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

2158952910432 is a wasteful number, since it uses less digits than its factorization.

2158952910432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712412 (or 5712404 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2158952910432 in words is "two trillion, one hundred fifty-eight billion, nine hundred fifty-two million, nine hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 127 186 248 254 372 381 496 508 744 762 992 1016 1488 1524 2032 2976 3048 3937 4064 6096 7874 11811 12192 15748 23622 31496 47244 62992 94488 125984 188976 377952 5712241 11424482 17136723 22848964 34273446 45697928 68546892 91395856 137093784 177079471 182791712 274187568 354158942 531238413 548375136 708317884 725454607 1062476826 1416635768 1450909214 2124953652 2176363821 2833271536 2901818428 4249907304 4352727642 5666543072 5803636856 8499814608 8705455284 11607273712 16999629216 17410910568 22489092817 23214547424 34821821136 44978185634 67467278451 69643642272 89956371268 134934556902 179912742536 269869113804 359825485072 539738227608 719650970144 1079476455216 2158952910432