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472267592192 = 291142512
BaseRepresentation
bin1101101111101010101…
…01111001001000000000
31200011000010210102120102
412313311111321020000
530214201000422232
61000542353301532
746056142204424
oct6676525711000
91604003712512
10472267592192
11172318820000
12776415648a8
13356c47c1c06
1418c0200cb84
15c441128662
hex6df5579200

472267592192 has 150 divisors (see below), whose sum is σ = 1042119424995. Its totient is φ = 213811840000.

The previous prime is 472267592191. The next prime is 472267592207. The reversal of 472267592192 is 291295762274.

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., 236133796096 + 236133796096 = 485936^2 + 485936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=485936.

It is not an unprimeable number, because it can be changed into a prime (472267592191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1881544067 + ... + 1881544317.

Almost surely, 2472267592192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472267592192

472267592192 is an abundant number, since it is smaller than the sum of its proper divisors (569851832803).

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

472267592192 is an frugal number, since it uses more digits than its factorization.

472267592192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 264 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 56.

The spelling of 472267592192 in words is "four hundred seventy-two billion, two hundred sixty-seven million, five hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 251 256 352 484 502 512 704 968 1004 1331 1408 1936 2008 2662 2761 2816 3872 4016 5324 5522 5632 7744 8032 10648 11044 14641 15488 16064 21296 22088 29282 30371 30976 32128 42592 44176 58564 60742 61952 63001 64256 85184 88352 117128 121484 126002 128512 170368 176704 234256 242968 252004 334081 340736 353408 468512 485936 504008 668162 681472 693011 706816 937024 971872 1008016 1336324 1386022 1413632 1874048 1943744 2016032 2672648 2772044 3674891 3748096 3887488 4032064 5345296 5544088 7349782 7496192 7623121 7774976 8064128 10690592 11088176 14699564 15246242 15549952 16128256 21381184 22176352 29399128 30492484 32256512 42762368 44352704 58798256 60984968 83854331 85524736 88705408 117596512 121969936 167708662 171049472 177410816 235193024 243939872 335417324 354821632 470386048 487879744 670834648 922397641 940772096 975759488 1341669296 1844795282 1881544192 1951518976 2683338592 3689590564 3903037952 5366677184 7379181128 10733354368 14758362256 21466708736 29516724512 42933417472 59033449024 118066898048 236133796096 472267592192