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6423661032 = 2333117235011
BaseRepresentation
bin1011111101110000…
…10100100111101000
3121120200020210100120
411332320110213220
5101123424123112
62541225203240
7315120134505
oct57670244750
917520223316
106423661032
1127a6a97678
1212b3330520
137b4aa2c79
1444d1b24ac
15278e21e8c
hex17ee149e8

6423661032 has 64 divisors (see below), whose sum is σ = 16590120960. Its totient is φ = 2070532800.

The previous prime is 6423660967. The next prime is 6423661039. The reversal of 6423661032 is 2301663246.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6423660984 and 6423661002.

It is not an unprimeable number, because it can be changed into a prime (6423661039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279407 + ... + 1284417.

It is an arithmetic number, because the mean of its divisors is an integer number (259220640).

Almost surely, 26423661032 is an apocalyptic number.

6423661032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6423661032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295060480).

6423661032 is an abundant number, since it is smaller than the sum of its proper divisors (10166459928).

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

6423661032 is a wasteful number, since it uses less digits than its factorization.

6423661032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 6423661032 is about 80147.7450213042. The cubic root of 6423661032 is about 1858.9207358858.

The spelling of 6423661032 in words is "six billion, four hundred twenty-three million, six hundred sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1723 3446 5011 5169 6892 10022 10338 13784 15033 20044 20676 30066 40088 41352 53413 60132 106826 120264 155341 160239 213652 310682 320478 427304 466023 621364 640956 932046 1242728 1281912 1864092 3728184 8633953 17267906 25901859 34535812 51803718 69071624 103607436 207214872 267652543 535305086 802957629 1070610172 1605915258 2141220344 3211830516 6423661032