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10723421568 = 2731711314537
BaseRepresentation
bin10011111110010101…
…00110110110000000
31000200100000020221210
421333022212312000
5133430143442233
64532024050120
7526510402506
oct117712466600
930610006853
1010723421568
114603101382
1220b3303940
13101b83a482
1473a276676
1542b65a163
hex27f2a6d80

10723421568 has 128 divisors (see below), whose sum is σ = 30428615520. Its totient is φ = 3334209536.

The previous prime is 10723421561. The next prime is 10723421593. The reversal of 10723421568 is 86512432701.

10723421568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×107234215682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723421561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730396 + ... + 744932.

Almost surely, 210723421568 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 10723421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214307760).

10723421568 is an abundant number, since it is smaller than the sum of its proper divisors (19705193952).

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

10723421568 is a wasteful number, since it uses less digits than its factorization.

10723421568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14684 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10723421568 in words is "ten billion, seven hundred twenty-three million, four hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 113 128 136 192 204 226 272 339 384 408 452 544 678 816 904 1088 1356 1632 1808 1921 2176 2712 3264 3616 3842 5424 5763 6528 7232 7684 10848 11526 14464 14537 15368 21696 23052 29074 30736 43392 43611 46104 58148 61472 87222 92208 116296 122944 174444 184416 232592 245888 247129 348888 368832 465184 494258 697776 737664 741387 930368 988516 1395552 1482774 1642681 1860736 1977032 2791104 2965548 3285362 3954064 4928043 5582208 5931096 6570724 7908128 9856086 11862192 13141448 15816256 19712172 23724384 26282896 27925577 31632512 39424344 47448768 52565792 55851154 78848688 83776731 94897536 105131584 111702308 157697376 167553462 210263168 223404616 315394752 335106924 446809232 630789504 670213848 893618464 1340427696 1787236928 2680855392 3574473856 5361710784 10723421568