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23369484672 = 273220399949
BaseRepresentation
bin10101110000111011…
…100000100110000000
32020022122210211021100
4111300323200212000
5340330042002142
614422533054400
71455055225242
oct256073404600
966278724240
1023369484672
119a025127a6
124642487400
1322857a8051
1411b99cc092
1591b996b4c
hex570ee0980

23369484672 has 96 divisors (see below), whose sum is σ = 67287870000. Its totient is φ = 7785225216.

The previous prime is 23369484661. The next prime is 23369484773. The reversal of 23369484672 is 27648496332.

23369484672 is a `hidden beast` number, since 2 + 33 + 69 + 484 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233694846722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2343954 + ... + 2353902.

Almost surely, 223369484672 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 23369484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643935000).

23369484672 is an abundant number, since it is smaller than the sum of its proper divisors (43918385328).

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

23369484672 is a wasteful number, since it uses less digits than its factorization.

23369484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008 (or 11993 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 23369484672 in words is "twenty-three billion, three hundred sixty-nine million, four hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2039 4078 6117 8156 9949 12234 16312 18351 19898 24468 29847 32624 36702 39796 48936 59694 65248 73404 79592 89541 97872 119388 130496 146808 159184 179082 195744 238776 260992 293616 318368 358164 391488 477552 587232 636736 716328 782976 955104 1174464 1273472 1432656 1910208 2348928 2865312 3820416 5730624 11461248 20286011 40572022 60858033 81144044 121716066 162288088 182574099 243432132 324576176 365148198 486864264 649152352 730296396 973728528 1298304704 1460592792 1947457056 2596609408 2921185584 3894914112 5842371168 7789828224 11684742336 23369484672