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10416264420 = 2235374692011
BaseRepresentation
bin10011011001101101…
…11001010011100100
3222212221001001120010
421230312321103210
5132313030430140
64441332410220
7516060533562
oct115466712344
928787031503
1010416264420
1144657896a1
122028476970
13ca0004a93
1470b55ca32
1540e6d5880
hex26cdb94e4

10416264420 has 48 divisors (see below), whose sum is σ = 29953804608. Its totient is φ = 2702597760.

The previous prime is 10416264349. The next prime is 10416264437. The reversal of 10416264420 is 2446261401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2343786 + ... + 2348225.

It is an arithmetic number, because the mean of its divisors is an integer number (624037596).

Almost surely, 210416264420 is an apocalyptic number.

10416264420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416264420 is an abundant number, since it is smaller than the sum of its proper divisors (19537540188).

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

10416264420 is a wasteful number, since it uses less digits than its factorization.

10416264420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692060 (or 4692058 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10416264420 in words is "ten billion, four hundred sixteen million, two hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4692011 9384022 14076033 18768044 23460055 28152066 46920110 56304132 70380165 93840220 140760330 173604407 281520660 347208814 520813221 694417628 868022035 1041626442 1736044070 2083252884 2604066105 3472088140 5208132210 10416264420