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87671717040 = 2435857426253
BaseRepresentation
bin101000110100110100…
…1000011110010110000
322101021222210200100010
41101221221003302300
52414022424421130
6104135325054520
76222405204405
oct1215151036260
9271258720303
1087671717040
11341aa4426a6
1214ba90b7440
13836265685b
1443599ca2ac
152431c700b0
hex1469a43cb0

87671717040 has 80 divisors (see below), whose sum is σ = 272100093408. Its totient is φ = 23351789568.

The previous prime is 87671717027. The next prime is 87671717047. The reversal of 87671717040 is 4071717678.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (87671717047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7447 + ... + 418806.

Almost surely, 287671717040 is an apocalyptic number.

87671717040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87671717040 is an abundant number, since it is smaller than the sum of its proper divisors (184428376368).

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

87671717040 is a wasteful number, since it uses less digits than its factorization.

87671717040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427126 (or 427120 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 48.

The spelling of 87671717040 in words is "eighty-seven billion, six hundred seventy-one million, seven hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 857 1714 2571 3428 4285 5142 6856 8570 10284 12855 13712 17140 20568 25710 34280 41136 51420 68560 102840 205680 426253 852506 1278759 1705012 2131265 2557518 3410024 4262530 5115036 6393795 6820048 8525060 10230072 12787590 17050120 20460144 25575180 34100240 51150360 102300720 365298821 730597642 1095896463 1461195284 1826494105 2191792926 2922390568 3652988210 4383585852 5479482315 5844781136 7305976420 8767171704 10958964630 14611952840 17534343408 21917929260 29223905680 43835858520 87671717040