Search a number
-
+
1540068403616 = 253710186314923
BaseRepresentation
bin10110011010010011001…
…110101110100110100000
312110020012000101221100022
4112122103032232212200
5200213030002403431
63135255254413012
7216160221303551
oct26322316564640
95406160357308
101540068403616
11544159512046
1220a585961168
13b22c66c8b82
145477ad62328
152a0d9d9407b
hex166933ae9a0

1540068403616 has 96 divisors (see below), whose sum is σ = 3148642119168. Its totient is φ = 740895206400.

The previous prime is 1540068403591. The next prime is 1540068403637. The reversal of 1540068403616 is 6163048600451.

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, 103193531 + ... + 103208453.

It is an arithmetic number, because the mean of its divisors is an integer number (32798355408).

Almost surely, 21540068403616 is an apocalyptic number.

1540068403616 is a gapful number since it is divisible by the number (16) 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 1540068403616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574321059584).

1540068403616 is an abundant number, since it is smaller than the sum of its proper divisors (1608573715552).

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

1540068403616 is a wasteful number, since it uses less digits than its factorization.

1540068403616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 1540068403616 in words is "one trillion, five hundred forty billion, sixty-eight million, four hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 101 148 202 296 404 592 808 863 1184 1616 1726 3232 3452 3737 6904 7474 13808 14923 14948 27616 29846 29896 31931 59692 59792 63862 87163 119384 119584 127724 174326 238768 255448 348652 477536 510896 552151 697304 1021792 1104302 1394608 1507223 2208604 2789216 3014446 3225031 4417208 6028892 6450062 8834416 12057784 12878549 12900124 17668832 24115568 25757098 25800248 48231136 51514196 51600496 55767251 103028392 103200992 111534502 206056784 223069004 412113568 446138008 476506313 892276016 953012626 1300733449 1784552032 1906025252 2601466898 3812050504 5202933796 7624101008 10405867592 15248202016 20811735184 41623470368 48127137613 96254275226 192508550452 385017100904 770034201808 1540068403616