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42977436100 = 2252207312
BaseRepresentation
bin101000000001101001…
…111010000111000100
311002221011121221222121
4220001221322013010
51201004210423400
631424335335324
73051010115344
oct500151720704
9132834557877
1042977436100
1117254707935
1283b5081544
13408bb96681
142119bbcd24
1511b80c021a
hexa01a7a1c4

42977436100 has 27 divisors (see below), whose sum is σ = 93265535181. Its totient is φ = 17190145200.

The previous prime is 42977436079. The next prime is 42977436107. The reversal of 42977436100 is 163477924.

The square root of 42977436100 is 207310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15471876996 + 27505559104 = 124386^2 + 165848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42977436107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2062735 + ... + 2083465.

Almost surely, 242977436100 is an apocalyptic number.

42977436100 is the 207310-th square number.

It is an amenable number.

42977436100 is an abundant number, since it is smaller than the sum of its proper divisors (50288099081).

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

42977436100 is an frugal number, since it uses more digits than its factorization.

42977436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41476 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 42977436100 in words is "forty-two billion, nine hundred seventy-seven million, four hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20731 41462 82924 103655 207310 414620 518275 1036550 2073100 429774361 859548722 1719097444 2148871805 4297743610 8595487220 10744359025 21488718050 42977436100