Search a number
-
+
1348968809088 = 27332741142403
BaseRepresentation
bin10011101000010100110…
…011101000001010000000
311202221220221210200212000
4103220110303220022000
5134100142003342323
62511412511104000
7166313463454545
oct23502463501200
94687827720760
101348968809088
114801047a824a
12199532b12000
139a290328c14
144940cd6cbcc
1525152ec6e43
hex13a14ce8280

1348968809088 has 128 divisors (see below), whose sum is σ = 3982812033600. Its totient is φ = 449489064960.

The previous prime is 1348968809077. The next prime is 1348968809113. The reversal of 1348968809088 is 8809088698431.

1348968809088 is a `hidden beast` number, since 1 + 3 + 489 + 68 + 8 + 0 + 9 + 0 + 88 = 666.

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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9401695 + ... + 9544097.

Almost surely, 21348968809088 is an apocalyptic number.

1348968809088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348968809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991406016800).

1348968809088 is an abundant number, since it is smaller than the sum of its proper divisors (2633843224512).

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

1348968809088 is a wasteful number, since it uses less digits than its factorization.

1348968809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145167 (or 145149 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 1348968809088 in words is "one trillion, three hundred forty-eight billion, nine hundred sixty-eight million, eight hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2741 3456 5482 8223 10964 16446 21928 24669 32892 43856 49338 65784 74007 87712 98676 131568 142403 148014 175424 197352 263136 284806 296028 350848 394704 427209 526272 569612 592056 789408 854418 1052544 1139224 1184112 1281627 1578816 1708836 2278448 2368224 2563254 3157632 3417672 3844881 4556896 4736448 5126508 6835344 7689762 9113792 9472896 10253016 13670688 15379524 18227584 20506032 27341376 30759048 41012064 54682752 61518096 82024128 123036192 164048256 246072384 390326623 492144768 780653246 1170979869 1561306492 2341959738 3122612984 3512939607 4683919476 6245225968 7025879214 9367838952 10538818821 12490451936 14051758428 18735677904 21077637642 24980903872 28103516856 37471355808 42155275284 49961807744 56207033712 74942711616 84310550568 112414067424 149885423232 168621101136 224828134848 337242202272 449656269696 674484404544 1348968809088