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423106801452 = 223310151677507
BaseRepresentation
bin1100010100000110010…
…00010110111100101100
31111110010001002111122000
412022003020112330230
523413010320121302
6522212251052300
742365660321046
oct6120310267454
91443101074560
10423106801452
11153490839325
126a001741090
1330b8b882a1a
141669ad32a96
15b0152a331c
hex6283216f2c

423106801452 has 96 divisors (see below), whose sum is σ = 1108166384640. Its totient is φ = 139593585600.

The previous prime is 423106801423. The next prime is 423106801489. The reversal of 423106801452 is 254108601324.

It is a happy number.

423106801452 is a `hidden beast` number, since 4 + 23 + 106 + 80 + 1 + 452 = 666.

It is a super-3 number, since 3×4231068014523 (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56357883 + ... + 56365389.

It is an arithmetic number, because the mean of its divisors is an integer number (11543399840).

Almost surely, 2423106801452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423106801452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554083192320).

423106801452 is an abundant number, since it is smaller than the sum of its proper divisors (685059583188).

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

423106801452 is a wasteful number, since it uses less digits than its factorization.

423106801452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 423106801452 in words is "four hundred twenty-three billion, one hundred six million, eight hundred one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5167 5454 7507 10334 10908 15014 15501 20668 22521 30028 31002 45042 46503 62004 67563 90084 93006 135126 139509 186012 202689 270252 279018 405378 521867 558036 758207 810756 1043734 1516414 1565601 2087468 2274621 3032828 3131202 4549242 4696803 6262404 6823863 9098484 9393606 13647726 14090409 18787212 20471589 27295452 28180818 38788669 40943178 56361636 77577338 81886356 116366007 155154676 232732014 349098021 465464028 698196042 1047294063 1396392084 2094588126 3917655569 4189176252 7835311138 11752966707 15670622276 23505933414 35258900121 47011866828 70517800242 105776700363 141035600484 211553400726 423106801452