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75072000080 = 24571112187013
BaseRepresentation
bin100010111101010100…
…0111101000001010000
321011202220012201222102
41011322220331001100
52212221413000310
654253153255532
75265232320620
oct1057250750120
9234686181872
1075072000080
1129924206880
12126715645a8
13710519522c
1438c249a880
151e45a3a8a5
hex117aa3d050

75072000080 has 80 divisors (see below), whose sum is σ = 217611321984. Its totient is φ = 23399063040.

The previous prime is 75072000067. The next prime is 75072000083. The reversal of 75072000080 is 8000027057.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75072000083) 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, 6087347 + ... + 6099666.

Almost surely, 275072000080 is an apocalyptic number.

75072000080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75072000080 is an abundant number, since it is smaller than the sum of its proper divisors (142539321904).

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

75072000080 is a wasteful number, since it uses less digits than its factorization.

75072000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187044 (or 12187038 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The spelling of 75072000080 in words is "seventy-five billion, seventy-two million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 12187013 24374026 48748052 60935065 85309091 97496104 121870130 134057143 170618182 194992208 243740260 268114286 341236364 426545455 487480520 536228572 670285715 682472728 853090910 938400001 974961040 1072457144 1340571430 1364945456 1706181820 1876800002 2144914288 2681142860 3412363640 3753600004 4692000005 5362285720 6824727280 7507200008 9384000010 10724571440 15014400016 18768000020 37536000040 75072000080