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10143055550264 = 23713291355335449
BaseRepresentation
bin1001001110011001110100…
…1110010001011100111000
31022220122222222111011112212
42103212131032101130320
52312140434210102024
633323353321554252
72064545241431360
oct223463516213470
938818888434485
1010143055550264
11326071147a30a
121179960945988
13587641a81510
14270cd84a39a0
15128c9e02ca0e
hex9399d391738

10143055550264 has 128 divisors (see below), whose sum is σ = 24216660720000. Its totient is φ = 3873875410944.

The previous prime is 10143055550239. The next prime is 10143055550269. The reversal of 10143055550264 is 46205555034101.

10143055550264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143055550269) 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, 286113212 + ... + 286148660.

It is an arithmetic number, because the mean of its divisors is an integer number (189192661875).

Almost surely, 210143055550264 is an apocalyptic number.

10143055550264 is a gapful number since it is divisible by the number (14) 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 10143055550264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108330360000).

10143055550264 is an abundant number, since it is smaller than the sum of its proper divisors (14073605169736).

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

10143055550264 is a wasteful number, since it uses less digits than its factorization.

10143055550264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49057 (or 49053 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 10143055550264 in words is "ten trillion, one hundred forty-three billion, fifty-five million, five hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2639 3016 5278 10556 13553 21112 27106 35449 54212 70898 94871 108424 141796 176189 189742 248143 283592 352378 379484 393037 460837 496286 704756 758968 786074 921674 992572 1028021 1233323 1409512 1572148 1843348 1985144 2056042 2466646 2751259 3144296 3225859 3686696 4112084 4933292 5109481 5502518 6451718 7196147 8224168 9866584 10218962 11005036 12903436 13364273 14392294 20437924 22010072 25806872 26728546 28784588 35766367 40875848 53457092 57569176 71532734 93549911 106914184 143065468 187099822 286130936 374199644 480440297 748399288 960880594 1921761188 3363082079 3843522376 6245723861 6726164158 12491447722 13452328316 13932768613 24982895444 26904656632 27865537226 43720067027 49965790888 55731074452 87440134054 97529380291 111462148904 174880268108 181125991969 195058760582 349760536216 362251983938 390117521164 724503967876 780235042328 1267881943783 1449007935752 2535763887566 5071527775132 10143055550264