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4321392929136 = 2433181106351991
BaseRepresentation
bin111110111000100111000…
…101110010100101110000
3120022010021022012010111000
4332320213011302211300
51031300203042213021
613105115343522000
7624132100555323
oct76704705624560
916263238163430
104321392929136
111416768717198
125996218b9300
13254675a7619a
1410d2297587ba
157762182eb26
hex3ee27172970

4321392929136 has 160 divisors (see below), whose sum is σ = 12484502051840. Its totient is φ = 1431130809600.

The previous prime is 4321392929111. The next prime is 4321392929137. The reversal of 4321392929136 is 6319292931234.

4321392929136 is a `hidden beast` number, since 4 + 3 + 213 + 9 + 292 + 9 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321392929137) 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, 83092101 + ... + 83144091.

It is an arithmetic number, because the mean of its divisors is an integer number (78028137824).

Almost surely, 24321392929136 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 4321392929136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242251025920).

4321392929136 is an abundant number, since it is smaller than the sum of its proper divisors (8163109122704).

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

4321392929136 is a wasteful number, since it uses less digits than its factorization.

4321392929136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53252 (or 53240 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 4321392929136 in words is "four trillion, three hundred twenty-one billion, three hundred ninety-two million, nine hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 181 216 362 432 543 724 1063 1086 1448 1629 2126 2172 2896 3189 3258 4252 4344 4887 6378 6516 8504 8688 9567 9774 12756 13032 17008 19134 19548 25512 26064 28701 38268 39096 51024 51991 57402 76536 78192 103982 114804 153072 155973 192403 207964 229608 311946 384806 415928 459216 467919 577209 623892 769612 831856 935838 1154418 1247784 1403757 1539224 1731627 1871676 2308836 2495568 2807514 3078448 3463254 3743352 4617672 5194881 5615028 6926508 7486704 9235344 9410371 10389762 11230056 13853016 18820742 20779524 22460112 27706032 28231113 37641484 41559048 55266433 56462226 75282968 83118096 84693339 110532866 112924452 150565936 165799299 169386678 221065732 225848904 254080017 331598598 338773356 442131464 451697808 497397897 508160034 663197196 677546712 884262928 994795794 1016320068 1326394392 1355093424 1492193691 1989591588 2032640136 2652788784 2984387382 3979183176 4065280272 5968774764 7958366352 10003224373 11937549528 20006448746 23875099056 30009673119 40012897492 60019346238 80025794984 90029019357 120038692476 160051589968 180058038714 240077384952 270087058071 360116077428 480154769904 540174116142 720232154856 1080348232284 1440464309712 2160696464568 4321392929136