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1349460880768 = 277111310532131
BaseRepresentation
bin10011101000110010001…
…000101110110110000000
311210000012020201112022001
4103220302020232312000
5134102143441141033
62511533405553344
7166331620141060
oct23506210566600
94700166645261
101349460880768
11480337539a60
1219964b875854
139a33b2663b0
144945845d3a0
15251812c5e7d
hex13a3222ed80

1349460880768 has 128 divisors (see below), whose sum is σ = 3609572279040. Its totient is φ = 485320550400.

The previous prime is 1349460880763. The next prime is 1349460880793. The reversal of 1349460880768 is 8670880649431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349460880763) 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, 5137938 + ... + 5394193.

It is an arithmetic number, because the mean of its divisors is an integer number (28199783430).

Almost surely, 21349460880768 is an apocalyptic number.

It is an amenable number.

1349460880768 is an abundant number, since it is smaller than the sum of its proper divisors (2260111398272).

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

1349460880768 is a wasteful number, since it uses less digits than its factorization.

1349460880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532176 (or 10532164 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 1349460880768 in words is "one trillion, three hundred forty-nine billion, four hundred sixty million, eight hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 11648 16016 18304 32032 64064 128128 10532131 21064262 42128524 73724917 84257048 115853441 136917703 147449834 168514096 231706882 273835406 294899668 337028192 463413764 547670812 589799336 674056384 810974087 926827528 958423921 1095341624 1179598672 1348112768 1506094733 1621948174 1853655056 1916847842 2190683248 2359197344 3012189466 3243896348 3707310112 3833695684 4381366496 4718394688 6024378932 6487792696 7414620224 7667391368 8762732992 9436789376 10542663131 12048757864 12975585392 14829240448 15334782736 17525465984 21085326262 24097515728 25951170784 30669565472 42170652524 48195031456 51902341568 61339130944 84341305048 96390062912 103804683136 122678261888 168682610096 192780125824 337365220192 674730440384 1349460880768