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33424713311132 = 221121319733830033
BaseRepresentation
bin1111001100110010011000…
…01010011110001110011100
311101100101000201222200112202
413212121030022132032130
513340112303101424012
6155031033514551032
710016566361256143
oct746311412361634
9141311021880482
1033424713311132
11a717383313600
1238b9b24a38478
131585c245c68c0
14837a9c6c275a
153ce6c0858cc2
hex1e664c29e39c

33424713311132 has 144 divisors (see below), whose sum is σ = 73882581470880. Its totient is φ = 13104224686080.

The previous prime is 33424713311123. The next prime is 33424713311149. The reversal of 33424713311132 is 23111331742433.

It is a super-2 number, since 2×334247133111322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6811988 + ... + 10642020.

Almost surely, 233424713311132 is an apocalyptic number.

It is an amenable number.

33424713311132 is an abundant number, since it is smaller than the sum of its proper divisors (40457868159748).

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

33424713311132 is a wasteful number, since it uses less digits than its factorization.

33424713311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830164 (or 3830151 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The spelling of 33424713311132 in words is "thirty-three trillion, four hundred twenty-four billion, seven hundred thirteen million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 73 76 121 143 146 209 242 247 286 292 418 484 494 572 803 836 949 988 1387 1573 1606 1898 2299 2717 2774 3146 3212 3796 4598 5434 5548 6292 8833 9196 10439 10868 15257 17666 18031 20878 29887 30514 35332 36062 41756 59774 61028 72124 114829 119548 167827 198341 229658 335654 396682 459316 671308 793364 2181751 3830033 4363502 7660066 8727004 15320132 42130363 49790429 72770627 84260726 99580858 145541254 168521452 199161716 279592409 291082508 463433993 547694719 559184818 800476897 926867986 946018151 1095389438 1118369636 1600953794 1853735972 1892036302 2190778876 3075516499 3201907588 3634701317 3784072604 5312255771 6024641909 6151032998 7269402634 8805245867 10406199661 10624511542 12049283818 12302065996 14538805268 17610491734 20812399322 21249023084 24098567636 33830681489 35220983468 39981714487 41624798644 58434813481 67661362978 69059325023 79963428974 114468196271 116869626962 135322725956 138118650046 159926857948 228936392542 233739253924 276237300092 439798859357 457872785084 642782948291 759652575253 879597718714 1285565896582 1519305150506 1759195437428 2571131793164 3038610301012 8356178327783 16712356655566 33424713311132