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87441073680 = 2435364337807
BaseRepresentation
bin101000101101111100…
…1001110011000010000
322100200220210210010110
41101123321032120100
52413034403324210
6104100405401320
76213604601652
oct1213371163020
9270626723113
1087441073680
11340a122a954
1214b43a09240
1383269307ac
14433710c6d2
15241b8b1420
hex145be4e610

87441073680 has 40 divisors (see below), whose sum is σ = 271067329152. Its totient is φ = 23317619584.

The previous prime is 87441073667. The next prime is 87441073693. The reversal of 87441073680 is 8637014478.

It is an interprime number because it is at equal distance from previous prime (87441073667) and next prime (87441073693).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×874410736802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 182168664 + ... + 182169143.

Almost surely, 287441073680 is an apocalyptic number.

87441073680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87441073680 is an abundant number, since it is smaller than the sum of its proper divisors (183626255472).

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

87441073680 is a wasteful number, since it uses less digits than its factorization.

87441073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364337823 (or 364337817 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 87441073680 in words is "eighty-seven billion, four hundred forty-one million, seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 364337807 728675614 1093013421 1457351228 1821689035 2186026842 2914702456 3643378070 4372053684 5465067105 5829404912 7286756140 8744107368 10930134210 14573512280 17488214736 21860268420 29147024560 43720536840 87441073680