Search a number
-
+
23679144468 = 22327131717289
BaseRepresentation
bin10110000011011000…
…110001001000010100
32021010020111011122200
4112003120301020110
5341443330110333
614513354124500
71465535256420
oct260330611024
967106434580
1023679144468
11a051294791
12470a120730
1323049a88b5
141208b97b80
15938c62c13
hex583631214

23679144468 has 72 divisors (see below), whose sum is σ = 68928699840. Its totient is φ = 6713815680.

The previous prime is 23679144457. The next prime is 23679144473. The reversal of 23679144468 is 86444197632.

23679144468 is a `hidden beast` number, since 2 + 36 + 7 + 9 + 144 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325633 + ... + 391656.

Almost surely, 223679144468 is an apocalyptic number.

23679144468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23679144468 is an abundant number, since it is smaller than the sum of its proper divisors (45249555372).

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

23679144468 is a wasteful number, since it uses less digits than its factorization.

23679144468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717437 (or 717432 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 23679144468 in words is "twenty-three billion, six hundred seventy-nine million, one hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 16506 33012 717289 1434578 2151867 2869156 4303734 5021023 6455601 8607468 10042046 12911202 15063069 20084092 25822404 30126138 45189207 60252276 90378414 93964859 180756828 187929718 281894577 375859436 563789154 657754013 845683731 1127578308 1315508026 1691367462 1973262039 2631016052 3382734924 3946524078 5919786117 7893048156 11839572234 23679144468