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78012838300 = 225211325726863
BaseRepresentation
bin100100010100111101…
…1010111000110011100
321110100211220210121111
41020221323113012130
52234232241311200
655501045511404
75431142120155
oct1105173270634
9243324823544
1078012838300
11300a3239091
1213152412564
1374835341a7
143ac0ca292c
152068ce50ba
hex1229ed719c

78012838300 has 72 divisors (see below), whose sum is σ = 171456901056. Its totient is φ = 30807490560.

The previous prime is 78012838237. The next prime is 78012838303. The reversal of 78012838300 is 383821087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78012838303) 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 23 ways as a sum of consecutive naturals, for example, 2890669 + ... + 2917531.

It is an arithmetic number, because the mean of its divisors is an integer number (2381345848).

Almost surely, 278012838300 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 78012838300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85728450528).

78012838300 is an abundant number, since it is smaller than the sum of its proper divisors (93444062756).

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

78012838300 is a wasteful number, since it uses less digits than its factorization.

78012838300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27247 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 78012838300 in words is "seventy-eight billion, twelve million, eight hundred thirty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 257 452 514 565 1028 1130 1285 2260 2570 2825 5140 5650 6425 11300 12850 25700 26863 29041 53726 58082 107452 116164 134315 145205 268630 290410 537260 580820 671575 726025 1343150 1452050 2686300 2904100 3035519 6071038 6903791 12142076 13807582 15177595 27615164 30355190 34518955 60710380 69037910 75887975 138075820 151775950 172594775 303551900 345189550 690379100 780128383 1560256766 3120513532 3900641915 7801283830 15602567660 19503209575 39006419150 78012838300