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60199076025 = 325211214872
BaseRepresentation
bin111000000100001001…
…010000000010111001
312202101101011220201100
4320010021100002321
51441241430413100
643353255042013
74230534463164
oct700411200271
9182341156640
1060199076025
1123591899900
12b800670309
1358a4a7ca5a
142cb10b4adb
151874e78400
hexe042500b9

60199076025 has 81 divisors (see below), whose sum is σ = 118596202543. Its totient is φ = 29167802400.

The previous prime is 60199076017. The next prime is 60199076033. The reversal of 60199076025 is 52067099106.

It is a happy number.

The square root of 60199076025 is 245355.

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

It is an interprime number because it is at equal distance from previous prime (60199076017) and next prime (60199076033).

It can be written as a sum of positive squares in only one way, i.e., 21671667369 + 38527408656 = 147213^2 + 196284^2 .

It is not a de Polignac number, because 60199076025 - 23 = 60199076017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40482832 + ... + 40484318.

Almost surely, 260199076025 is an apocalyptic number.

60199076025 is the 245355-th square number.

60199076025 is the 122678-th centered octagonal number.

It is an amenable number.

60199076025 is a deficient number, since it is larger than the sum of its proper divisors (58397126518).

60199076025 is a wasteful number, since it uses less digits than its factorization.

60199076025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 60199076025 in words is "sixty billion, one hundred ninety-nine million, seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1487 1815 2475 3025 4461 5445 7435 9075 13383 16357 22305 27225 37175 49071 66915 81785 111525 147213 179927 245355 334575 408925 539781 736065 899635 1226775 1619343 2211169 2698905 3680325 4498175 6633507 8096715 11055845 13494525 19900521 24322859 33167535 40483575 55279225 72968577 99502605 121614295 165837675 218905731 267551449 364842885 497513025 608071475 802654347 1094528655 1337757245 1824214425 2407963041 4013271735 5472643275 6688786225 12039815205 20066358675 60199076025