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1331287496 = 23711353337
BaseRepresentation
bin100111101011001…
…1101010111001000
310102210001102010022
41033112131113020
510211302144441
6340034040012
744663520440
oct11726352710
93383042108
101331287496
11623528000
12311a19008
13182a70ca6
14c8b47120
157bd2084b
hex4f59d5c8

1331287496 has 128 divisors (see below), whose sum is σ = 3206511360. Its totient is φ = 507386880.

The previous prime is 1331287483. The next prime is 1331287501. The reversal of 1331287496 is 6947821331.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3950240 + ... + 3950576.

It is an arithmetic number, because the mean of its divisors is an integer number (25050870).

Almost surely, 21331287496 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 1331287496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603255680).

1331287496 is an abundant number, since it is smaller than the sum of its proper divisors (1875223864).

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

1331287496 is a wasteful number, since it uses less digits than its factorization.

1331287496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 410 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 1331287496 is about 36486.8126314152. The cubic root of 1331287496 is about 1100.0791942983.

It can be divided in two parts, 1331 and 287496, that multiplied together give a cube (382657176 = 7263).

The spelling of 1331287496 in words is "one billion, three hundred thirty-one million, two hundred eighty-seven thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 121 154 212 242 308 337 371 424 484 583 616 674 742 847 968 1166 1331 1348 1484 1694 2332 2359 2662 2696 2968 3388 3707 4081 4664 4718 5324 6413 6776 7414 8162 9317 9436 10648 12826 14828 16324 17861 18634 18872 25652 25949 29656 32648 35722 37268 40777 44891 51304 51898 70543 71444 74536 81554 89782 103796 125027 141086 142888 163108 179564 196471 207592 250054 282172 285439 326216 359128 392942 448547 493801 500108 564344 570878 785884 897094 987602 1000216 1141756 1375297 1571768 1794188 1975204 2161181 2283512 2750594 3139829 3588376 3950408 4322362 5501188 6279658 8644724 11002376 12559316 15128267 17289448 23772991 25118632 30256534 47545982 60513068 95091964 121026136 166410937 190183928 332821874 665643748 1331287496