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79870055200 = 25521310970457
BaseRepresentation
bin100101001100010100…
…0000101001100100000
321122011021121012020121
41022120220011030200
52302033213231300
6100405232250024
75525153160535
oct1123050051440
9248137535217
1079870055200
1130966622691
12135903a0914
1376bb2384c0
143c197d0d8c
152126da181a
hex1298a05320

79870055200 has 144 divisors (see below), whose sum is σ = 211910889960. Its totient is φ = 29219512320.

The previous prime is 79870055179. The next prime is 79870055201. The reversal of 79870055200 is 255007897.

It can be written as a sum of positive squares in 12 ways, for example, as 2868245136 + 77001810064 = 53556^2 + 277492^2 .

It is not an unprimeable number, because it can be changed into a prime (79870055201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098372 + ... + 1168828.

Almost surely, 279870055200 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 79870055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105955444980).

79870055200 is an abundant number, since it is smaller than the sum of its proper divisors (132040834760).

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

79870055200 is a wasteful number, since it uses less digits than its factorization.

79870055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70599 (or 70586 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 79870055200 in words is "seventy-nine billion, eight hundred seventy million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 109 130 160 200 208 218 260 325 400 416 436 520 545 650 800 872 1040 1090 1300 1417 1744 2080 2180 2600 2725 2834 3488 4360 5200 5450 5668 7085 8720 10400 10900 11336 14170 17440 21800 22672 28340 35425 43600 45344 56680 70457 70850 87200 113360 140914 141700 226720 281828 283400 352285 563656 566800 704570 915941 1127312 1133600 1409140 1761425 1831882 2254624 2818280 3522850 3663764 4579705 5636560 7045700 7327528 7679813 9159410 11273120 14091400 14655056 15359626 18318820 22898525 28182800 29310112 30719252 36637640 38399065 45797050 56365600 61438504 73275280 76798130 91594100 99837569 122877008 146550560 153596260 183188200 191995325 199675138 245754016 307192520 366376400 383990650 399350276 499187845 614385040 732752800 767981300 798700552 998375690 1228770080 1535962600 1597401104 1996751380 2495939225 3071925200 3194802208 3993502760 4991878450 6143850400 7987005520 9983756900 15974011040 19967513800 39935027600 79870055200