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4223100012984 = 2333198312397837
BaseRepresentation
bin111101011101000100011…
…000000100100110111000
3112221201120002201122001000
4331131010120010212320
51023142402100403414
612552022041325000
7614052232554546
oct75350430044670
915851502648030
104223100012984
111389008952496
1258256b796760
1324830cb23438
14108583304d96
1574cbc3e7b09
hex3d7446049b8

4223100012984 has 128 divisors (see below), whose sum is σ = 12497020704000. Its totient is φ = 1317542827392.

The previous prime is 4223100012973. The next prime is 4223100013091. The reversal of 4223100012984 is 4892100013224.

4223100012984 is a `hidden beast` number, since 422 + 3 + 100 + 0 + 129 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5858287 + ... + 6539550.

It is an arithmetic number, because the mean of its divisors is an integer number (97632974250).

Almost surely, 24223100012984 is an apocalyptic number.

It is an amenable number.

4223100012984 is an abundant number, since it is smaller than the sum of its proper divisors (8273920691016).

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

4223100012984 is a wasteful number, since it uses less digits than its factorization.

4223100012984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397954 (or 12397944 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4223100012984 in words is "four trillion, two hundred twenty-three billion, one hundred million, twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 83 108 114 152 166 171 216 228 249 332 342 456 498 513 664 684 747 996 1026 1368 1494 1577 1992 2052 2241 2988 3154 4104 4482 4731 5976 6308 8964 9462 12616 14193 17928 18924 28386 37848 42579 56772 85158 113544 170316 340632 12397837 24795674 37193511 49591348 74387022 99182696 111580533 148774044 223161066 235558903 297548088 334741599 446322132 471117806 669483198 706676709 892644264 942235612 1029020471 1338966396 1413353418 1884471224 2058040942 2120030127 2677932792 2826706836 3087061413 4116081884 4240060254 5653413672 6174122826 6360090381 8232163768 8480120508 9261184239 12348245652 12720180762 16960241016 18522368478 19551388949 24696491304 25440361524 27783552717 37044736956 39102777898 50880723048 55567105434 58654166847 74089473912 78205555796 111134210868 117308333694 156411111592 175962500541 222268421736 234616667388 351925001082 469233334776 527887501623 703850002164 1055775003246 1407700004328 2111550006492 4223100012984