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420655556024 = 231117281186869
BaseRepresentation
bin1100001111100010000…
…01100110010110111000
31111012210012122100001022
412013301001212112320
523343000310243044
6521125124242012
742251144141654
oct6076101462670
91435705570038
10420655556024
11152443105360
1269638840308
133088aa93b42
1416507573a64
15ae1eea83ee
hex61f10665b8

420655556024 has 32 divisors (see below), whose sum is σ = 911045458800. Its totient is φ = 179959595520.

The previous prime is 420655556003. The next prime is 420655556129.

420655556024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 140591939 + ... + 140594930.

Almost surely, 2420655556024 is an apocalyptic number.

420655556024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420655556024 is an abundant number, since it is smaller than the sum of its proper divisors (490389902776).

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

420655556024 is a wasteful number, since it uses less digits than its factorization.

420655556024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281186903 (or 281186899 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

It can be divided in two parts, 420655 and 556024, that added together give a palindrome (976679).

The spelling of 420655556024 in words is "four hundred twenty billion, six hundred fifty-five million, five hundred fifty-six thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 281186869 562373738 1124747476 2249494952 3093055559 4780176773 6186111118 9560353546 12372222236 19120707092 24744444472 38241414184 52581944503 105163889006 210327778012 420655556024