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88141650768 = 2434463146891
BaseRepresentation
bin101001000010110100…
…1101101101101010000
322102111202001210020000
41102011221231231100
52421003230311033
6104254113250000
76240142445523
oct1220551555520
9272452053200
1088141650768
1134420733886
12150ba563900
138408b12752
1443a2196bba
15245d149a13
hex1485a6db50

88141650768 has 100 divisors (see below), whose sum is σ = 255660237888. Its totient is φ = 29316893760.

The previous prime is 88141650713. The next prime is 88141650797. The reversal of 88141650768 is 86705614188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 526603 + ... + 673493.

Almost surely, 288141650768 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 88141650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127830118944).

88141650768 is an abundant number, since it is smaller than the sum of its proper divisors (167518587120).

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

88141650768 is a wasteful number, since it uses less digits than its factorization.

88141650768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147374 (or 147359 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 88141650768 in words is "eighty-eight billion, one hundred forty-one million, six hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 463 648 926 1296 1389 1852 2778 3704 4167 5556 7408 8334 11112 12501 16668 22224 25002 33336 37503 50004 66672 75006 100008 146891 150012 200016 293782 300024 440673 587564 600048 881346 1175128 1322019 1762692 2350256 2644038 3525384 3966057 5288076 7050768 7932114 10576152 11898171 15864228 21152304 23796342 31728456 47592684 63456912 68010533 95185368 136021066 190370736 204031599 272042132 408063198 544084264 612094797 816126396 1088168528 1224189594 1632252792 1836284391 2448379188 3264505584 3672568782 4896758376 5508853173 7345137564 9793516752 11017706346 14690275128 22035412692 29380550256 44070825384 88141650768