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10420467372 = 2233724115717
BaseRepresentation
bin10011011010001101…
…11011011010101100
3222220012221120221000
421231012323122230
5132320114423442
64442002440300
7516141340230
oct115506733254
928805846830
1010420467372
11446809a407
122029963090
13ca0b46b33
1470bd345c0
1540ec65d4c
hex26d1bb6ac

10420467372 has 96 divisors (see below), whose sum is σ = 30893667840. Its totient is φ = 2975520960.

The previous prime is 10420467371. The next prime is 10420467389. The reversal of 10420467372 is 27376402401.

10420467372 is a `hidden beast` number, since 104 + 20 + 467 + 3 + 72 = 666.

It is a super-2 number, since 2×104204673722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10420467371) 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 31 ways as a sum of consecutive naturals, for example, 1819858 + ... + 1825574.

It is an arithmetic number, because the mean of its divisors is an integer number (321809040).

Almost surely, 210420467372 is an apocalyptic number.

10420467372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420467372 is an abundant number, since it is smaller than the sum of its proper divisors (20473200468).

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

10420467372 is a wasteful number, since it uses less digits than its factorization.

10420467372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 10420467372 its reverse (27376402401), we get a palindrome (37796869773).

The spelling of 10420467372 in words is "ten billion, four hundred twenty million, four hundred sixty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2411 4822 5717 7233 9644 11434 14466 16877 17151 21699 22868 28932 33754 34302 40019 43398 50631 51453 65097 67508 68604 80038 86796 101262 102906 120057 130194 151893 154359 160076 202524 205812 240114 260388 303786 308718 360171 455679 480228 607572 617436 720342 911358 1080513 1440684 1822716 2161026 4322052 13783687 27567374 41351061 55134748 82702122 96485809 124053183 165404244 192971618 248106366 289457427 372159549 385943236 496212732 578914854 744319098 868372281 1157829708 1488638196 1736744562 2605116843 3473489124 5210233686 10420467372