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23426703563648 = 277113907608369
BaseRepresentation
bin1010101001110011101000…
…10110000001101110000000
310001221120102020202201220112
411110321310112001232000
511032310342103014043
6121454025023530452
74635344360515160
oct524716426015600
9101846366681815
1023426703563648
117512233479780
122764303759a28
13100c1898b1ab8
145adc03a325a0
152a95b0500518
hex154e74581b80

23426703563648 has 128 divisors (see below), whose sum is σ = 58201443820800. Its totient is φ = 9124935966720.

The previous prime is 23426703563639. The next prime is 23426703563663. The reversal of 23426703563648 is 84636530762432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38203208 + ... + 38811576.

It is an arithmetic number, because the mean of its divisors is an integer number (454698779850).

Almost surely, 223426703563648 is an apocalyptic number.

23426703563648 is a gapful number since it is divisible by the number (28) 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 23426703563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100721910400).

23426703563648 is an abundant number, since it is smaller than the sum of its proper divisors (34774740257152).

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

23426703563648 is a wasteful number, since it uses less digits than its factorization.

23426703563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612308 (or 612296 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 59.

The spelling of 23426703563648 in words is "twenty-three trillion, four hundred twenty-six billion, seven hundred three million, five hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 3907 4928 7814 9856 15628 27349 31256 42977 54698 62512 85954 109396 125024 171908 218792 250048 300839 343816 437584 500096 601678 608369 687632 875168 1203356 1216738 1375264 1750336 2406712 2433476 2750528 3500672 4258583 4813424 4866952 5501056 6692059 8517166 9626848 9733904 13384118 17034332 19253696 19467808 26768236 34068664 38507392 38935616 46844413 53536472 68137328 77871232 93688826 107072944 136274656 187377652 214145888 272549312 374755304 428291776 545098624 749510608 856583552 1499021216 2376897683 2998042432 4753795366 5996084864 9507590732 16638283781 19015181464 26145874513 33276567562 38030362928 52291749026 66553135124 76060725856 104583498052 133106270248 152121451712 183021121591 209166996104 266212540496 304242903424 366042243182 418333992208 532425080992 732084486364 836667984416 1064850161984 1464168972728 1673335968832 2129700323968 2928337945456 3346671937664 5856675890912 11713351781824 23426703563648