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13311233332432 = 2472271361338461
BaseRepresentation
bin1100000110110100001101…
…0101011001010011010000
31202010112121201220222011221
43001231003111121103100
53221042401213114212
644151032435014424
72542463525312260
oct301550325312320
952115551828157
1013311233332432
114272298213a02
1215ab98113a414
13757322b69699
143403a50157a0
151813c8125807
hexc1b435594d0

13311233332432 has 80 divisors (see below), whose sum is σ = 29607663595392. Its totient is φ = 5679118056960.

The previous prime is 13311233332427. The next prime is 13311233332447. The reversal of 13311233332432 is 23423333211331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346077682 + ... + 346116142.

Almost surely, 213311233332432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311233332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803831797696).

13311233332432 is an abundant number, since it is smaller than the sum of its proper divisors (16296430262960).

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

13311233332432 is a wasteful number, since it uses less digits than its factorization.

13311233332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52316 (or 52310 counting only the distinct ones).

The product of its digits is 69984, while the sum is 34.

Adding to 13311233332432 its reverse (23423333211331), we get a palindrome (36734566543763).

The spelling of 13311233332432 in words is "thirteen trillion, three hundred eleven billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 454 908 1589 1816 3178 3632 6356 12712 13613 25424 27226 38461 54452 76922 95291 108904 153844 190582 217808 269227 307688 381164 538454 615376 762328 1076908 1524656 2153816 3090151 4307632 6180302 8730647 12360604 17461294 21631057 24721208 34922588 43262114 49442416 61114529 69845176 86524228 122229058 139690352 173048456 244458116 346096912 488916232 523569593 977832464 1047139186 2094278372 3664987151 4188556744 7329974302 8377113488 14659948604 29319897208 58639794416 118850297611 237700595222 475401190444 831952083277 950802380888 1663904166554 1901604761776 3327808333108 6655616666216 13311233332432