Search a number
-
+
60330464914900 = 225219107296755853
BaseRepresentation
bin11011011011110110001111…
…11011100010110111010100
321220121112110211102120102211
431231323013323202313110
530401423243004234100
6332151233304243204
715464506106366005
oct1555730773426724
9256545424376384
1060330464914900
11182500086a5924
126924546770504
1327881a519185b
1410c801d9451ac
156e9501ac31ba
hex36dec7ee2dd4

60330464914900 has 72 divisors (see below), whose sum is σ = 139095403886880. Its totient is φ = 22648406624640.

The previous prime is 60330464914877. The next prime is 60330464914921. The reversal of 60330464914900 is 941946403306.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148174627 + ... + 148581226.

It is an arithmetic number, because the mean of its divisors is an integer number (1931880609540).

Almost surely, 260330464914900 is an apocalyptic number.

It is an amenable number.

60330464914900 is an abundant number, since it is smaller than the sum of its proper divisors (78764938971980).

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

60330464914900 is a wasteful number, since it uses less digits than its factorization.

60330464914900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296755993 (or 296755986 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 60330464914900 in words is "sixty trillion, three hundred thirty billion, four hundred sixty-four million, nine hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 190 214 380 428 475 535 950 1070 1900 2033 2140 2675 4066 5350 8132 10165 10700 20330 40660 50825 101650 203300 296755853 593511706 1187023412 1483779265 2967558530 5638361207 5935117060 7418896325 11276722414 14837792650 22553444828 28191806035 29675585300 31752876271 56383612070 63505752542 112767224140 127011505084 140959030175 158764381355 281918060350 317528762710 563836120700 603304649149 635057525420 793821906775 1206609298298 1587643813550 2413218596596 3016523245745 3175287627100 6033046491490 12066092982980 15082616228725 30165232457450 60330464914900