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87603142680 = 23365171971131
BaseRepresentation
bin101000110010110001…
…1011110000000011000
322101010012202202000000
41101211203132000120
52413402401031210
6104124435213000
76220613266224
oct1214543360030
9271105682000
1087603142680
1134174765779
1214b8a147160
138351396c01
144350859784
15242ac26ac0
hex14658de018

87603142680 has 896 divisors, whose sum is σ = 336567052800. Its totient is φ = 20379340800.

The previous prime is 87603142643. The next prime is 87603142769. The reversal of 87603142680 is 8624130678.

87603142680 is a `hidden beast` number, since 8 + 7 + 603 + 14 + 26 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 668726215 + ... + 668726345.

Almost surely, 287603142680 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 87603142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168283526400).

87603142680 is an abundant number, since it is smaller than the sum of its proper divisors (248963910120).

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

87603142680 is a wasteful number, since it uses less digits than its factorization.

87603142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 87603142680 in words is "eighty-seven billion, six hundred three million, one hundred forty-two thousand, six hundred eighty".