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23053536374456 = 23717971319189271
BaseRepresentation
bin1010011110111100100011…
…10110001010111010111000
310000121220012120212101111102
411033132101312022322320
511010202120302440311
6121010352015550532
74566364056656240
oct517362166127270
9100556176771442
1023053536374456
117388a4a308285
122703b1a82b448
13cb2c29417503
14599b233d0b20
1529ea1e66443b
hex14f791d8aeb8

23053536374456 has 128 divisors (see below), whose sum is σ = 52885927987200. Its totient is φ = 9196014551040.

The previous prime is 23053536374443. The next prime is 23053536374459. The reversal of 23053536374456 is 65447363535032.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23053536374459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121707101 + ... + 121896371.

It is an arithmetic number, because the mean of its divisors is an integer number (413171312400).

Almost surely, 223053536374456 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 23053536374456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442963993600).

23053536374456 is an abundant number, since it is smaller than the sum of its proper divisors (29832391612744).

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

23053536374456 is a wasteful number, since it uses less digits than its factorization.

23053536374456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190717 (or 190713 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 56.

The spelling of 23053536374456 in words is "twenty-three trillion, fifty-three billion, five hundred thirty-six million, three hundred seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 97 119 136 194 238 388 476 679 776 952 1319 1358 1649 2638 2716 3298 5276 5432 6596 9233 10552 11543 13192 18466 22423 23086 36932 44846 46172 73864 89692 92344 127943 156961 179384 189271 255886 313922 378542 511772 627844 757084 895601 1023544 1255688 1324897 1514168 1791202 2175031 2649794 3217607 3582404 4350062 5299588 6435214 7164808 8700124 10599176 12870428 15225217 17400248 18359287 22523249 25740856 30450434 36718574 45046498 60900868 73437148 90092996 121801736 128515009 146874296 180185992 249648449 257030018 312107879 499296898 514060036 624215758 998593796 1028120072 1248431516 1747539143 1997187592 2184755153 2496863032 3495078286 4244023633 4369510306 6990156572 8488047266 8739020612 13980313144 16976094532 17478041224 24215899553 29708165431 33952189064 48431799106 59416330862 96863598212 118832661724 169511296871 193727196424 237665323448 339022593742 411670292401 678045187484 823340584802 1356090374968 1646681169604 2881692046807 3293362339208 5763384093614 11526768187228 23053536374456