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5079001424896 = 21072100612
BaseRepresentation
bin100100111101000110000…
…0100110110010000000000
3122222112210100020022220001
41021322030010312100000
51131203243331044041
614445132215125344
71032642250536100
oct111721404662000
918875710208801
105079001424896
111688aa0993363
126a0417373854
132aac4236a629
14137b79a65200
158c1b31e1131
hex49e8c136400

5079001424896 has 99 divisors (see below), whose sum is σ = 11811856566657. Its totient is φ = 2176498544640.

The previous prime is 5079001424891. The next prime is 5079001424899. The reversal of 5079001424896 is 6984241009705.

The square root of 5079001424896 is 2253664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2906561258496 + 2172440166400 = 1704864^2 + 1473920^2 .

It is a super-2 number, since 2×50790014248962 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5079001424891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 504815706 + ... + 504825766.

Almost surely, 25079001424896 is an apocalyptic number.

5079001424896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5079001424896 is the 2253664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5079001424896

5079001424896 is an abundant number, since it is smaller than the sum of its proper divisors (6732855141761).

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

5079001424896 is an frugal number, since it uses more digits than its factorization.

5079001424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 5079001424896 in words is "five trillion, seventy-nine billion, one million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 10061 12544 20122 25088 40244 50176 70427 80488 140854 160976 281708 321952 492989 563416 643904 985978 1126832 1287808 1971956 2253664 2575616 3943912 4507328 5151232 7887824 9014656 10302464 15775648 18029312 31551296 36058624 63102592 72117248 101223721 126205184 202447442 252410368 404894884 504820736 708566047 809789768 1417132094 1619579536 2834264188 3239159072 4959962329 5668528376 6478318144 9919924658 11337056752 12956636288 19839849316 22674113504 25913272576 39679698632 45348227008 51826545152 79359397264 90696454016 103653090304 158718794528 181392908032 317437589056 362785816064 634875178112 725571632128 1269750356224 2539500712448 5079001424896