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23515041132 = 2232111371492909
BaseRepresentation
bin10101111001100110…
…110000110101101100
32020200210200212012100
4111321212300311230
5341124322304012
614445212535100
71461503360142
oct257146606554
966623625170
1023515041132
119a7769a4a0
124683181490
1322a99ac52b
1411d107b592
159296498dc
hex5799b0d6c

23515041132 has 144 divisors (see below), whose sum is σ = 65778804000. Its totient is φ = 7023866880.

The previous prime is 23515041119. The next prime is 23515041157. The reversal of 23515041132 is 23114051532.

23515041132 is a `hidden beast` number, since 23 + 5 + 1 + 504 + 1 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23515041096 and 23515041105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8082094 + ... + 8085002.

It is an arithmetic number, because the mean of its divisors is an integer number (456797250).

Almost surely, 223515041132 is an apocalyptic number.

23515041132 is a gapful number since it is divisible by the number (22) 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 23515041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32889402000).

23515041132 is an abundant number, since it is smaller than the sum of its proper divisors (42263762868).

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

23515041132 is a wasteful number, since it uses less digits than its factorization.

23515041132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 23515041132 its reverse (23114051532), we get a palindrome (46629092664).

The spelling of 23515041132 in words is "twenty-three billion, five hundred fifteen million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 149 198 274 298 396 411 447 548 596 822 894 1233 1341 1507 1639 1644 1788 2466 2682 2909 3014 3278 4521 4917 4932 5364 5818 6028 6556 8727 9042 9834 11636 13563 14751 17454 18084 19668 20413 26181 27126 29502 31999 34908 40826 52362 54252 59004 61239 63998 81652 95997 104724 122478 127996 183717 191994 224543 244956 287991 367434 383988 398533 433441 449086 575982 673629 734868 797066 866882 898172 1151964 1195599 1300323 1347258 1594132 1733764 2020887 2391198 2600646 2694516 3586797 3900969 4041774 4383863 4767851 4782396 5201292 7173594 7801938 8083548 8767726 9535702 13151589 14303553 14347188 15603876 17535452 19071404 26303178 28607106 39454767 42910659 52606356 57214212 59381417 78909534 85821318 118762834 157819068 171642636 178144251 237525668 356288502 534432753 653195587 712577004 1068865506 1306391174 1959586761 2137731012 2612782348 3919173522 5878760283 7838347044 11757520566 23515041132