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291169962272 = 2572136272
BaseRepresentation
bin1000011110010110001…
…01010000100100100000
31000211120010122122010202
410033023011100210200
514232304002243042
6341432302444332
730015314562200
oct4171305204440
91024503578122
10291169962272
11102536942262
12485202936a8
13215c3649707
1410142530400
1578923a6632
hex43cb150920

291169962272 has 54 divisors (see below), whose sum is σ = 666880146387. Its totient is φ = 124777969344.

The previous prime is 291169962247. The next prime is 291169962289. The reversal of 291169962272 is 272269961192.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 145584981136 + 145584981136 = 381556^2 + 381556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=381556.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21360323 + ... + 21373949.

Almost surely, 2291169962272 is an apocalyptic number.

It is an amenable number.

291169962272 is an abundant number, since it is smaller than the sum of its proper divisors (375710184115).

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

291169962272 is an frugal number, since it uses more digits than its factorization.

291169962272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27278 (or 13636 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The spelling of 291169962272 in words is "two hundred ninety-one billion, one hundred sixty-nine million, nine hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 13627 27254 54508 95389 109016 190778 218032 381556 436064 667723 763112 1335446 1526224 2670892 3052448 5341784 10683568 21367136 185695129 371390258 742780516 1299865903 1485561032 2599731806 2971122064 5199463612 5942244128 9099061321 10398927224 18198122642 20797854448 36396245284 41595708896 72792490568 145584981136 291169962272