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1346791345680 = 243511510148237
BaseRepresentation
bin10011100110010011000…
…001010000111000010000
311202202022012112002121010
4103212103001100320100
5134031212041030210
62510412444330520
7166205513360664
oct23462301207020
94682265462533
101346791345680
1147a197670810
12199025843a40
139a004188431
1449283aba8a4
1525076c5c920
hex13993050e10

1346791345680 has 80 divisors (see below), whose sum is σ = 4554603468864. Its totient is φ = 326494871040.

The previous prime is 1346791345657. The next prime is 1346791345681. The reversal of 1346791345680 is 865431976431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1346791345680.

It is not an unprimeable number, because it can be changed into a prime (1346791345681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255071479 + ... + 255076758.

Almost surely, 21346791345680 is an apocalyptic number.

1346791345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346791345680 is an abundant number, since it is smaller than the sum of its proper divisors (3207812123184).

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

1346791345680 is a wasteful number, since it uses less digits than its factorization.

1346791345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510148264 (or 510148258 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 1346791345680 in words is "one trillion, three hundred forty-six billion, seven hundred ninety-one million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 510148237 1020296474 1530444711 2040592948 2550741185 3060889422 4081185896 5101482370 5611630607 6121778844 7652223555 8162371792 10202964740 11223261214 12243557688 15304447110 16834891821 20405929480 22446522428 24487115376 28058153035 30608894220 33669783642 40811858960 44893044856 56116306070 61217788440 67339567284 84174459105 89786089712 112232612140 122435576880 134679134568 168348918210 224465224280 269358269136 336697836420 448930448560 673395672840 1346791345680