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4535378084112 = 24329149163134153
BaseRepresentation
bin100000111111111100110…
…0110011000000100010000
3121001120121022000022000020
41001333321212120010100
51043301423242142422
613351305100223440
7645445616432031
oct101777146300420
917046538008006
104535378084112
111499496767307
12612ba0b3ab80
1326b8b85a7295
14119728d6aa88
157ce9795395c
hex41ff9998110

4535378084112 has 160 divisors (see below), whose sum is σ = 12276700848000. Its totient is φ = 1440959901696.

The previous prime is 4535378084047. The next prime is 4535378084131. The reversal of 4535378084112 is 2114808735354.

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 31 ways as a sum of consecutive naturals, for example, 33740428 + ... + 33874580.

It is an arithmetic number, because the mean of its divisors is an integer number (76729380300).

Almost surely, 24535378084112 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 4535378084112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138350424000).

4535378084112 is an abundant number, since it is smaller than the sum of its proper divisors (7741322763888).

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

4535378084112 is a wasteful number, since it uses less digits than its factorization.

4535378084112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134505 (or 134499 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 4535378084112 in words is "four trillion, five hundred thirty-five billion, three hundred seventy-eight million, eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 149 163 174 232 298 326 348 447 464 489 596 652 696 894 978 1192 1304 1392 1788 1956 2384 2608 3576 3912 4321 4727 7152 7824 8642 9454 12963 14181 17284 18908 24287 25926 28362 34568 37816 48574 51852 56724 69136 72861 75632 97148 103704 113448 134153 145722 194296 207408 226896 268306 291444 388592 402459 536612 582888 704323 804918 1073224 1165776 1408646 1609836 2112969 2146448 2817292 3219672 3890437 4225938 5634584 6439344 7780874 8451876 11269168 11671311 15561748 16903752 19988797 21866939 23342622 31123496 33807504 39977594 43733878 46685244 59966391 62246992 65600817 79955188 87467756 93370488 119932782 131201634 159910376 174935512 186740976 239865564 262403268 319820752 349871024 479731128 524806536 579675113 634141231 959462256 1049613072 1159350226 1268282462 1739025339 1902423693 2318700452 2536564924 3258173911 3478050678 3804847386 4637400904 5073129848 6516347822 6956101356 7609694772 9274801808 9774521733 10146259696 13032695644 13912202712 15219389544 19549043466 26065391288 27824405424 30438779088 39098086932 52130782576 78196173864 94487043419 156392347728 188974086838 283461130257 377948173676 566922260514 755896347352 1133844521028 1511792694704 2267689042056 4535378084112