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68204926144 = 2641173150247
BaseRepresentation
bin111111100001010101…
…001001010011000000
320112001022121020110201
4333201111021103000
52104140430114034
651155524134544
74633116210115
oct774125112300
9215038536421
1068204926144
1126a1a9a2563
1211275837454
13657c590884
14343046290c
151b92c2c014
hexfe15494c0

68204926144 has 56 divisors (see below), whose sum is σ = 139447572768. Its totient is φ = 33078159360.

The previous prime is 68204926093. The next prime is 68204926157. The reversal of 68204926144 is 44162940286.

It is a junction number, because it is equal to n+sod(n) for n = 68204926094 and 68204926103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378829 + ... + 529075.

It is an arithmetic number, because the mean of its divisors is an integer number (2490135228).

Almost surely, 268204926144 is an apocalyptic number.

68204926144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68204926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69723786384).

68204926144 is an abundant number, since it is smaller than the sum of its proper divisors (71242646624).

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

68204926144 is a wasteful number, since it uses less digits than its factorization.

68204926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150473 (or 150463 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 68204926144 in words is "sixty-eight billion, two hundred four million, nine hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 173 328 346 656 692 1312 1384 2624 2768 5536 7093 11072 14186 28372 56744 113488 150247 226976 300494 453952 600988 1201976 2403952 4807904 6160127 9615808 12320254 24640508 25992731 49281016 51985462 98562032 103970924 197124064 207941848 394248128 415883696 831767392 1065701971 1663534784 2131403942 4262807884 8525615768 17051231536 34102463072 68204926144