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23453222235432 = 233112335910759109
BaseRepresentation
bin1010101010100101000001…
…11110101110110100101000
310002001002212101022211202120
411111102200332232310220
511033224144343013212
6121514132255031240
74640303465512113
oct525224076566450
9102032771284676
1023453222235432
117522501589350
12276948480b520
131011824947272
145b11db97d57a
152aa1136a988c
hex1554a0faed28

23453222235432 has 128 divisors (see below), whose sum is σ = 66930271488000. Its totient is φ = 6779098768640.

The previous prime is 23453222235389. The next prime is 23453222235463.

23453222235432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199707 + ... + 7559402.

It is an arithmetic number, because the mean of its divisors is an integer number (522892746000).

Almost surely, 223453222235432 is an apocalyptic number.

23453222235432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23453222235432 is an abundant number, since it is smaller than the sum of its proper divisors (43477049252568).

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

23453222235432 is a wasteful number, since it uses less digits than its factorization.

23453222235432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759511 (or 10759507 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

The spelling of 23453222235432 in words is "twenty-three trillion, four hundred fifty-three billion, two hundred twenty-two million, two hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 359 506 552 718 759 1012 1077 1436 1518 2024 2154 2872 3036 3949 4308 6072 7898 8257 8616 11847 15796 16514 23694 24771 31592 33028 47388 49542 66056 90827 94776 99084 181654 198168 272481 363308 544962 726616 1089924 2179848 10759109 21518218 32277327 43036436 64554654 86072872 118350199 129109308 236700398 247459507 258218616 355050597 473400796 494919014 710101194 742378521 946801592 989838028 1420202388 1484757042 1979676056 2722054577 2840404776 2969514084 3862520131 5444109154 5939028168 7725040262 8166163731 10888218308 11587560393 15450080524 16332327462 21776436616 23175120786 30900161048 32664654924 42487721441 46350241572 65329309848 84975442882 88837963013 92700483144 127463164323 169950885764 177675926026 254926328646 266513889039 339901771528 355351852052 509852657292 533027778078 710703704104 977217593143 1019705314584 1066055556156 1954435186286 2132111112312 2931652779429 3908870372572 5863305558858 7817740745144 11726611117716 23453222235432