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13035454535412 = 22322360167338923
BaseRepresentation
bin1011110110110000110110…
…1000110001011011110100
31201011011210020110112120200
42331230031220301123310
53202033102330113122
643420223302200500
72513531500234011
oct275541550613364
951134706415520
1013035454535412
11417633a284a31
121566437423130
1373731310625a
14330cc2a50708
1517913709e5ac
hexbdb0da316f4

13035454535412 has 144 divisors (see below), whose sum is σ = 34492643971968. Its totient is φ = 4143044505600.

The previous prime is 13035454535401. The next prime is 13035454535419. The reversal of 13035454535412 is 21453545453031.

13035454535412 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 4 + 54 + 53 + 541 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035454535419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334884183 + ... + 334923105.

Almost surely, 213035454535412 is an apocalyptic number.

13035454535412 is a gapful number since it is divisible by the number (12) 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 13035454535412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246321985984).

13035454535412 is an abundant number, since it is smaller than the sum of its proper divisors (21457189436556).

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

13035454535412 is a wasteful number, since it uses less digits than its factorization.

13035454535412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40230 (or 40225 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 13035454535412 its reverse (21453545453031), we get a palindrome (34488999988443).

The spelling of 13035454535412 in words is "thirteen trillion, thirty-five billion, four hundred fifty-four million, five hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 601 673 828 1202 1346 1803 2019 2404 2692 3606 4038 5409 6057 7212 8076 10818 12114 13823 15479 21636 24228 27646 30958 38923 41469 46437 55292 61916 77846 82938 92874 116769 124407 139311 155692 165876 185748 233538 248814 278622 350307 404473 467076 497628 557244 700614 808946 895229 1213419 1401228 1617892 1790458 2426838 2685687 3580916 3640257 4853676 5371374 7280514 8057061 9302879 10742748 14561028 16114122 18605758 23392723 26195179 27908637 32228244 37211516 46785446 52390358 55817274 70178169 78585537 83725911 93570892 104780716 111634548 140356338 157171074 167451822 210534507 235756611 280712676 314342148 334903644 421069014 471513222 538032629 602489117 842138028 943026444 1076065258 1204978234 1614097887 1807467351 2152130516 2409956468 3228195774 3614934702 4842293661 5422402053 6456391548 7229869404 9684587322 10844804106 15743302579 19369174644 21689608212 31486605158 47229907737 62973210316 94459815474 141689723211 188919630948 283379446422 362095959317 566758892844 724191918634 1086287877951 1448383837268 2172575755902 3258863633853 4345151511804 6517727267706 13035454535412