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75087616980 = 223510931693623
BaseRepresentation
bin100010111101110010…
…0100001101111010100
321011210222121011100010
41011323210201233110
52212234412220410
654254512120220
75265512133135
oct1057344415724
9234728534303
1075087616980
1129932003002
1212676836070
1371084a25bc
1438c45a3c8c
151e470c2c20
hex117b921bd4

75087616980 has 96 divisors (see below), whose sum is σ = 212299718400. Its totient is φ = 19827929088.

The previous prime is 75087616973. The next prime is 75087616987. The reversal of 75087616980 is 8961678057.

It is an interprime number because it is at equal distance from previous prime (75087616973) and next prime (75087616987).

It is a self number, because there is not a number n which added to its sum of digits gives 75087616980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75087616987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20723449 + ... + 20727071.

It is an arithmetic number, because the mean of its divisors is an integer number (2211455400).

Almost surely, 275087616980 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 75087616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106149859200).

75087616980 is an abundant number, since it is smaller than the sum of its proper divisors (137212101420).

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

75087616980 is a wasteful number, since it uses less digits than its factorization.

75087616980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 75087616980 in words is "seventy-five billion, eighty-seven million, six hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3169 3270 3623 6338 6540 7246 9507 10869 12676 14492 15845 18115 19014 21738 31690 36230 38028 43476 47535 54345 63380 72460 95070 108690 190140 217380 345421 394907 690842 789814 1036263 1184721 1381684 1579628 1727105 1974535 2072526 2369442 3454210 3949070 4145052 4738884 5181315 5923605 6908420 7898140 10362630 11481287 11847210 20725260 22962574 23694420 34443861 45925148 57406435 68887722 114812870 137775444 172219305 229625740 344438610 688877220 1251460283 2502920566 3754380849 5005841132 6257301415 7508761698 12514602830 15017523396 18771904245 25029205660 37543808490 75087616980