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68562274000 = 2453116175051
BaseRepresentation
bin111111110110101000…
…010100011011010000
320112222020000101120111
4333312220110123100
52110403420232000
651255211251104
74645015466443
oct776650243320
9215866011514
1068562274000
1127093686270
1211355449a94
13660861a3cc
143465ac365a
151bb42b7cba
hexff6a146d0

68562274000 has 160 divisors (see below), whose sum is σ = 181183796352. Its totient is φ = 24886400000.

The previous prime is 68562273979. The next prime is 68562274069. The reversal of 68562274000 is 47226586.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 13571475 + ... + 13576525.

Almost surely, 268562274000 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 68562274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90591898176).

68562274000 is an abundant number, since it is smaller than the sum of its proper divisors (112621522352).

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

68562274000 is a wasteful number, since it uses less digits than its factorization.

68562274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 68562274000 in words is "sixty-eight billion, five hundred sixty-two million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 617 880 1000 1100 1234 1375 2000 2200 2468 2750 3085 4400 4936 5051 5500 6170 6787 9872 10102 11000 12340 13574 15425 20204 22000 24680 25255 27148 30850 33935 40408 49360 50510 54296 55561 61700 67870 77125 80816 101020 108592 111122 123400 126275 135740 154250 169675 202040 222244 246800 252550 271480 277805 308500 339350 404080 444488 505100 542960 555610 617000 631375 678700 848375 888976 1010200 1111220 1234000 1262750 1357400 1389025 1696750 2020400 2222440 2525500 2714800 2778050 3116467 3393500 4444880 5051000 5556100 6232934 6787000 6945125 10102000 11112200 12465868 13574000 13890250 15582335 22224400 24931736 27780500 31164670 34281137 49863472 55561000 62329340 68562274 77911675 111122000 124658680 137124548 155823350 171405685 249317360 274249096 311646700 342811370 389558375 548498192 623293400 685622740 779116750 857028425 1246586800 1371245480 1558233500 1714056850 2742490960 3116467000 3428113700 4285142125 6232934000 6856227400 8570284250 13712454800 17140568500 34281137000 68562274000