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68000137304 = 231147127129457
BaseRepresentation
bin111111010101000111…
…111100000001011000
320111112001020212222212
4333111013330001120
52103231013343204
651123330534252
74625051426111
oct772507740130
9214461225885
1068000137304
1126925339690
1211219137388
13654901a948
143411195208
151b7ec78c6e
hexfd51fc058

68000137304 has 64 divisors (see below), whose sum is σ = 143170191360. Its totient is φ = 30013079040.

The previous prime is 68000137259. The next prime is 68000137333. The reversal of 68000137304 is 40373100086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460544 + ... + 590000.

It is an arithmetic number, because the mean of its divisors is an integer number (2237034240).

Almost surely, 268000137304 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 68000137304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71585095680).

68000137304 is an abundant number, since it is smaller than the sum of its proper divisors (75170054056).

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

68000137304 is a wasteful number, since it uses less digits than its factorization.

68000137304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129648 (or 129644 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 68000137304 in words is "sixty-eight billion, one hundred thirty-seven thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 47 88 94 127 188 254 376 508 517 1016 1034 1397 2068 2794 4136 5588 5969 11176 11938 23876 47752 65659 129457 131318 258914 262636 517828 525272 1035656 1424027 2848054 5696108 6084479 11392216 12168958 16441039 24337916 32882078 48675832 65764156 66929269 131528312 133858538 180851429 267717076 361702858 535434152 723405716 772728833 1446811432 1545457666 3090915332 6181830664 8500017163 17000034326 34000068652 68000137304