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60868291225 = 5274192532
BaseRepresentation
bin111000101100000010…
…000110101010011001
312211010000102120101111
4320230002012222121
51444124240304400
643543522420321
74253241640000
oct705402065231
9184100376344
1060868291225
11238a5622115
12b9688016a1
135980600b91
142d35d17c37
1518b3ab93ba
hexe2c086a99

60868291225 has 135 divisors (see below), whose sum is σ = 94715515293. Its totient is φ = 38795440320.

The previous prime is 60868291217. The next prime is 60868291241. The reversal of 60868291225 is 52219286806.

It is a happy number.

The square root of 60868291225 is 246715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 458516569 + 60409774656 = 21413^2 + 245784^2 .

It is not a de Polignac number, because 60868291225 - 23 = 60868291217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1148458299 + ... + 1148458351.

Almost surely, 260868291225 is an apocalyptic number.

60868291225 is the 246715-th square number.

60868291225 is the 123358-th centered octagonal number.

It is an amenable number.

60868291225 is a deficient number, since it is larger than the sum of its proper divisors (33847224068).

60868291225 is an frugal number, since it uses more digits than its factorization.

60868291225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 60868291225 by its sum of digits (49), we get a square (2982546270025 = 17270052).

60868291225 divided by its sum of digits (49) gives a square (1242210025 = 352452).

The spelling of 60868291225 in words is "sixty billion, eight hundred sixty-eight million, two hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 53 95 133 175 245 265 343 361 371 475 665 931 1007 1225 1325 1715 1805 1855 2401 2527 2597 2809 3325 4655 5035 6517 7049 8575 9025 9275 12005 12635 12985 14045 17689 18179 19133 19663 23275 25175 32585 35245 45619 49343 53371 60025 63175 64925 70225 88445 90895 95665 98315 123823 127253 133931 137641 162925 176225 228095 246715 266855 345401 373597 442225 454475 478325 491575 619115 636265 669655 688205 866761 937517 963487 1014049 1140475 1233575 1334275 1727005 1867985 2417807 2615179 3095575 3181325 3348275 3441025 4333805 4687585 4817435 5070245 6562619 6744409 7098343 8635025 9339925 12089035 13075895 18306253 21669025 23437925 24087175 25351225 32813095 33722045 35491715 45938333 49688401 60445175 65379475 91531265 128143771 164065475 168610225 177458575 229691665 248442005 347818807 457656325 640718855 1148458325 1242210025 1739094035 2434731649 3203594275 8695470175 12173658245 60868291225