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1375680611088 = 24347221662897
BaseRepresentation
bin10100000001001100111…
…101000100001100010000
311212111212112202211120000
4110001030331010030100
5140014343214023323
62531551241450000
7201250435154400
oct24011475041420
94774775684500
101375680611088
11490471928473
121a27487a0900
139c9593b1814
144a8247d0800
1525bb80cee43
hex1404cf44310

1375680611088 has 150 divisors (see below), whose sum is σ = 4631679232686. Its totient is φ = 393051585024.

The previous prime is 1375680611027. The next prime is 1375680611099. The reversal of 1375680611088 is 8801160865731.

1375680611088 is a `hidden beast` number, since 1 + 3 + 7 + 568 + 0 + 61 + 10 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1090537426944 + 285143184144 = 1044288^2 + 533988^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10767945 + ... + 10894952.

Almost surely, 21375680611088 is an apocalyptic number.

1375680611088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1375680611088 is an abundant number, since it is smaller than the sum of its proper divisors (3255998621598).

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

1375680611088 is a wasteful number, since it uses less digits than its factorization.

1375680611088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21662931 (or 21662909 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1375680611088 in words is "one trillion, three hundred seventy-five billion, six hundred eighty million, six hundred eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 21662897 43325794 64988691 86651588 129977382 151640279 173303176 194966073 259954764 303280558 346606352 389932146 454920837 519909528 584898219 606561116 779864292 909841674 1039819056 1061481953 1169796438 1213122232 1364762511 1559728584 1754694657 1819683348 2122963906 2339592876 2426244464 2729525022 3119457168 3184445859 3509389314 3639366696 4094287533 4245927812 4679185752 5459050044 6368891718 7018778628 7278733392 8188575066 8491855624 9358371504 9553337577 10918100088 12282862599 12737783436 14037557256 16377150132 16983711248 19106675154 21836200176 24565725198 25475566872 28075114512 28660012731 32754300264 38213350308 49131450396 50951133744 57320025462 65508600528 76426700616 85980038193 98262900792 114640050924 152853401232 171960076386 196525801584 229280101848 343920152772 458560203696 687840305544 1375680611088