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420226591104 = 2732364780027
BaseRepresentation
bin1100001110101110111…
…01001110100110000000
31111011200022110122210200
412013113131032212000
523341111001403404
6521014402125200
742234415042245
oct6072735164600
91434608418720
10420226591104
11152242a566a1
1269539050800
133081cc50748
14164a65cd5cc
15ade74c2839
hex61d774e980

420226591104 has 48 divisors (see below), whose sum is σ = 1209245792820. Its totient is φ = 140075529984.

The previous prime is 420226591093. The next prime is 420226591111. The reversal of 420226591104 is 401195622024.

It is a happy number.

420226591104 is a `hidden beast` number, since 4 + 202 + 265 + 91 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 182388862 + ... + 182391165.

Almost surely, 2420226591104 is an apocalyptic number.

It is an amenable number.

420226591104 is an abundant number, since it is smaller than the sum of its proper divisors (789019201716).

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

420226591104 is a wasteful number, since it uses less digits than its factorization.

420226591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364780047 (or 364780032 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 420226591104 in words is "four hundred twenty billion, two hundred twenty-six million, five hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 364780027 729560054 1094340081 1459120108 2188680162 2918240216 3283020243 4377360324 5836480432 6566040486 8754720648 11672960864 13132080972 17509441296 23345921728 26264161944 35018882592 46691843456 52528323888 70037765184 105056647776 140075530368 210113295552 420226591104