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23650147328 = 210477012
BaseRepresentation
bin10110000001101010…
…001001110000000000
32021001012220222001112
4112001222021300000
5341413414203303
614510440422452
71465033635563
oct260152116000
967035828045
1023650147328
11a036989805
124700477a28
1322cb995222
141204daa4da
159364360d8
hex581a89c00

23650147328 has 66 divisors (see below), whose sum is σ = 48352072368. Its totient is φ = 11556966400.

The previous prime is 23650147319. The next prime is 23650147393. The reversal of 23650147328 is 82374105632.

It is a super-2 number, since 2×236501473282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33737378 + ... + 33738078.

Almost surely, 223650147328 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 23650147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24176036184).

23650147328 is an abundant number, since it is smaller than the sum of its proper divisors (24701925040).

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

23650147328 is an frugal number, since it uses more digits than its factorization.

23650147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 23650147328 in words is "twenty-three billion, six hundred fifty million, one hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 701 752 1024 1402 1504 2804 3008 5608 6016 11216 12032 22432 24064 32947 44864 48128 65894 89728 131788 179456 263576 358912 491401 527152 717824 982802 1054304 1965604 2108608 3931208 4217216 7862416 8434432 15724832 16868864 23095847 31449664 33737728 46191694 62899328 92383388 125798656 184766776 251597312 369533552 503194624 739067104 1478134208 2956268416 5912536832 11825073664 23650147328