Search a number
-
+
68010181704 = 23327929174099
BaseRepresentation
bin111111010101101110…
…010000010001001000
320111112202011012022200
4333111232100101020
52103241101303304
651124330120200
74625233002063
oct772556202110
9214482135280
1068010181704
112692aa7a143
1211220580060
13654b12678a
14341264b8da
151b80aaee39
hexfd5b90448

68010181704 has 96 divisors (see below), whose sum is σ = 186635280000. Its totient is φ = 22369965696.

The previous prime is 68010181669. The next prime is 68010181709. The reversal of 68010181704 is 40718101086.

It is a super-2 number, since 2×680101817042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68010181709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16589847 + ... + 16593945.

It is an arithmetic number, because the mean of its divisors is an integer number (1944117500).

Almost surely, 268010181704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68010181704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93317640000).

68010181704 is an abundant number, since it is smaller than the sum of its proper divisors (118625098296).

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

68010181704 is a wasteful number, since it uses less digits than its factorization.

68010181704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 68010181704 in words is "sixty-eight billion, ten million, one hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 2917 4099 5688 5834 8198 8751 11668 12297 16396 17502 23336 24594 26253 32792 35004 36891 49188 52506 70008 73782 98376 105012 147564 210024 230443 295128 323821 460886 647642 691329 921772 971463 1295284 1382658 1843544 1942926 2073987 2590568 2765316 2914389 3885852 4147974 5530632 5828778 7771704 8295948 11657556 11956783 16591896 23315112 23913566 35870349 47827132 71740698 95654264 107611047 143481396 215222094 286962792 430444188 860888376 944585857 1889171714 2833757571 3778343428 5667515142 7556686856 8501272713 11335030284 17002545426 22670060568 34005090852 68010181704