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85671241920 = 2633511901423
BaseRepresentation
bin100111111001001100…
…1110110100011000000
322012010120120000101000
41033302121312203000
52400423314220140
6103205024012000
76122004353415
oct1176231664300
9265116500330
1085671241920
1133373201080
121472b161000
138104074174
14420a04a10c
152366316a30
hex13f26768c0

85671241920 has 224 divisors, whose sum is σ = 329704842240. Its totient is φ = 20768762880.

The previous prime is 85671241867. The next prime is 85671241937. The reversal of 85671241920 is 2914217658.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355672 + ... + 545751.

Almost surely, 285671241920 is an apocalyptic number.

85671241920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85671241920 is an abundant number, since it is smaller than the sum of its proper divisors (244033600320).

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

85671241920 is a wasteful number, since it uses less digits than its factorization.

85671241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901460 (or 901444 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85671241920 in words is "eighty-five billion, six hundred seventy-one million, two hundred forty-one thousand, nine hundred twenty".