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368845138896 = 243131319448141
BaseRepresentation
bin1010101111000001110…
…00100010101111010000
31022021001110012110000020
411113200320202233100
522020343323421041
6441240051223440
735435216644113
oct5274070425720
91267043173006
10368845138896
11132476513103
125b5995a7b80
1328a21c276a0
1413bd061857a
1598db6ed866
hex55e0e22bd0

368845138896 has 80 divisors (see below), whose sum is σ = 1026926355840. Its totient is φ = 113404515840.

The previous prime is 368845138853. The next prime is 368845138967. The reversal of 368845138896 is 698831548863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 368845138896.

It is a congruent number.

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, 598986 + ... + 1047126.

It is an arithmetic number, because the mean of its divisors is an integer number (12836579448).

Almost surely, 2368845138896 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 368845138896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513463177920).

368845138896 is an abundant number, since it is smaller than the sum of its proper divisors (658081216944).

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

368845138896 is a wasteful number, since it uses less digits than its factorization.

368845138896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449484 (or 449478 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 69.

The spelling of 368845138896 in words is "three hundred sixty-eight billion, eight hundred forty-five million, one hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1319 2638 3957 5276 7914 10552 15828 17147 21104 31656 34294 51441 63312 68588 102882 137176 205764 274352 411528 448141 823056 896282 1344423 1792564 2688846 3585128 5377692 5825833 7170256 10755384 11651666 17477499 21510768 23303332 34954998 46606664 69909996 93213328 139819992 279639984 591097979 1182195958 1773293937 2364391916 3546587874 4728783832 7093175748 7684273727 9457567664 14186351496 15368547454 23052821181 28372702992 30737094908 46105642362 61474189816 92211284724 122948379632 184422569448 368845138896