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1466800001472 = 263134114333177
BaseRepresentation
bin10101010110000100000…
…101111101000111000000
312012020001210222110121110
4111112010011331013000
5143013001300021342
63041501050323320
7210654446203641
oct25260405750700
95166053873543
101466800001472
115160803a8083
121b8338429540
13a841b0b3570
1450dca2376c8
152824c872c9c
hex1558417d1c0

1466800001472 has 112 divisors (see below), whose sum is σ = 4281377601312. Its totient is φ = 440315166720.

The previous prime is 1466800001453. The next prime is 1466800001479. The reversal of 1466800001472 is 2741000086641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1466800001472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466800001479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7064253 + ... + 7268924.

It is an arithmetic number, because the mean of its divisors is an integer number (38226585726).

Almost surely, 21466800001472 is an apocalyptic number.

1466800001472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1466800001472 is an abundant number, since it is smaller than the sum of its proper divisors (2814577599840).

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

1466800001472 is a wasteful number, since it uses less digits than its factorization.

1466800001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333246 (or 14333236 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 1466800001472 in words is "one trillion, four hundred sixty-six billion, eight hundred million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 416 492 533 624 656 832 984 1066 1248 1312 1599 1968 2132 2496 2624 3198 3936 4264 6396 7872 8528 12792 17056 25584 34112 51168 102336 14333177 28666354 42999531 57332708 85999062 114665416 171998124 186331301 229330832 343996248 372662602 458661664 558993903 587660257 687992496 745325204 917323328 1117987806 1175320514 1375984992 1490650408 1762980771 2235975612 2350641028 2751969984 2981300816 3525961542 4471951224 4701282056 5962601632 7051923084 7639583341 8943902448 9402564112 11925203264 14103846168 15279166682 17887804896 18805128224 22918750023 28207692336 30558333364 35775609792 37610256448 45837500046 56415384672 61116666728 91675000092 112830769344 122233333456 183350000184 244466666912 366700000368 488933333824 733400000736 1466800001472