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68493109104 = 24327149456037
BaseRepresentation
bin111111110010100000…
…011110011101110000
320112210101212110011200
4333302200132131300
52110233213442404
651244301011200
74643215551510
oct776240363560
9215711773150
1068493109104
11270586356a2
1211336253b00
1365c71b1a34
14345a83b840
151bad1a4839
hexff281e770

68493109104 has 120 divisors (see below), whose sum is σ = 220539976800. Its totient is φ = 19438078464.

The previous prime is 68493109079. The next prime is 68493109127. The reversal of 68493109104 is 40190139486.

68493109104 is a `hidden beast` number, since 68 + 493 + 10 + 91 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68493109104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77827 + ... + 378210.

It is an arithmetic number, because the mean of its divisors is an integer number (1837833140).

Almost surely, 268493109104 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 68493109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110269988400).

68493109104 is an abundant number, since it is smaller than the sum of its proper divisors (152046867696).

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

68493109104 is a wasteful number, since it uses less digits than its factorization.

68493109104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456207 (or 456198 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 68493109104 in words is "sixty-eight billion, four hundred ninety-three million, one hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1788 2086 2384 2682 3129 3576 4172 5364 6258 7152 8344 9387 10728 12516 16688 18774 21456 25032 37548 50064 75096 150192 456037 912074 1368111 1824148 2736222 3192259 3648296 4104333 5472444 6384518 7296592 8208666 9576777 10944888 12769036 16417332 19153554 21889776 25538072 28730331 32834664 38307108 51076144 57460662 65669328 67949513 76614216 114921324 135899026 153228432 203848539 229842648 271798052 407697078 459685296 475646591 543596104 611545617 815394156 951293182 1087192208 1223091234 1426939773 1630788312 1902586364 2446182468 2853879546 3261576624 3805172728 4280819319 4892364936 5707759092 7610345456 8561638638 9784729872 11415518184 17123277276 22831036368 34246554552 68493109104