Search a number
-
+
291011121110192 = 24717152841975373
BaseRepresentation
bin100001000101011000100111…
…0011111111101110010110000
31102011101101120101110200200212
41002022301032133331302300
5301120411234001011232
62510532355145403252
7115203600603541340
oct10212611637756260
91364341511420625
10291011121110192
11847a813a24a05a
122877baa3799528
13c64c300594b02
1451c1028b48d20
152399d01695eb2
hex108ac4e7fdcb0

291011121110192 has 40 divisors (see below), whose sum is σ = 682286578069536. Its totient is φ = 117382637085696.

The previous prime is 291011121110153. The next prime is 291011121110257.

291011121110192 is nontrivially palindromic in base 10.

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, 76420985783 + ... + 76420989590.

Almost surely, 2291011121110192 is an apocalyptic number.

It is an amenable number.

291011121110192 is an abundant number, since it is smaller than the sum of its proper divisors (391275456959344).

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

291011121110192 is a wasteful number, since it uses less digits than its factorization.

291011121110192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152841975405 (or 152841975399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 291011121110192 in words is "two hundred ninety-one trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 152841975373 305683950746 611367901492 1069893827611 1222735802984 2139787655222 2445471605968 2598313581341 4279575310444 5196627162682 8559150620888 10393254325364 17118301241776 18188195069387 20786508650728 36376390138774 41573017301456 72752780277548 145505560555096 291011121110192