Search a number
-
+
60601055011000 = 2353739839217307
BaseRepresentation
bin11011100011101110010000…
…10110110110000010111000
321221120101220201102200110221
431301313020112312002320
530420341430040323000
6332515423525145424
715523165431302320
oct1561671026660270
9257511821380427
1060601055011000
1118344843762019
126968a8285b274
1327a7868c6705a
1410d716cb68280
1570158c36b61a
hex371dc85b60b8

60601055011000 has 128 divisors (see below), whose sum is σ = 162069349478400. Its totient is φ = 20776887427200.

The previous prime is 60601055010961. The next prime is 60601055011009. The reversal of 60601055011000 is 11055010606.

60601055011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60601055011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278764347 + ... + 278981653.

It is an arithmetic number, because the mean of its divisors is an integer number (1266166792800).

Almost surely, 260601055011000 is an apocalyptic number.

It is an amenable number.

60601055011000 is an abundant number, since it is smaller than the sum of its proper divisors (101468294467400).

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

60601055011000 is a wasteful number, since it uses less digits than its factorization.

60601055011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257174 (or 257160 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 60601055011000 in words is "sixty trillion, six hundred one billion, fifty-five million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 39839 79678 159356 199195 217307 278873 318712 398390 434614 557746 796780 869228 995975 1086535 1115492 1394365 1521149 1593560 1738456 1991950 2173070 2230984 2788730 3042298 3983900 4346140 4979875 5432675 5577460 6084596 6971825 7605745 7967800 8692280 9959750 10865350 11154920 12169192 13943650 15211490 19919500 21730700 27163375 27887300 30422980 34859125 38028725 39839000 43461400 54326750 55774600 60845960 69718250 76057450 108653500 139436500 152114900 190143625 217307000 278873000 304229800 380287250 760574500 1521149000 8657293573 17314587146 34629174292 43286467865 60601055011 69258348584 86572935730 121202110022 173145871460 216432339325 242404220044 303005275055 346291742920 432864678650 484808440088 606010550110 865729357300 1082161696625 1212021100220 1515026375275 1731458714600 2164323393250 2424042200440 3030052750550 4328646786500 6060105501100 7575131876375 8657293573000 12120211002200 15150263752750 30300527505500 60601055011000