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68650148224 = 277195038017
BaseRepresentation
bin111111111011110111…
…100010000110000000
320120012100100212100101
4333323313202012000
52111043414220344
651312030532144
74650133426510
oct777367420600
9216170325311
1068650148224
1127129245499
121137a967054
1366208a68a8
143473639840
151bbbd749d4
hexffbde2180

68650148224 has 128 divisors (see below), whose sum is σ = 164875737600. Its totient is φ = 27814109184.

The previous prime is 68650148201. The next prime is 68650148249. The reversal of 68650148224 is 42284105686.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8559064 + ... + 8567080.

It is an arithmetic number, because the mean of its divisors is an integer number (1288091700).

Almost surely, 268650148224 is an apocalyptic number.

68650148224 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 68650148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82437868800).

68650148224 is an abundant number, since it is smaller than the sum of its proper divisors (96225589376).

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

68650148224 is a wasteful number, since it uses less digits than its factorization.

68650148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 68650148224 in words is "sixty-eight billion, six hundred fifty million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 503 532 608 896 1006 1064 1216 2012 2128 2432 3521 4024 4256 7042 8017 8048 8512 9557 14084 16034 16096 17024 19114 28168 32068 32192 38228 56119 56336 64136 64384 66899 76456 112238 112672 128272 133798 152323 152912 224476 225344 256544 267596 304646 305824 448952 450688 513088 535192 609292 611648 897904 1026176 1066261 1070384 1218584 1223296 1795808 2132522 2140768 2437168 3591616 4032551 4265044 4281536 4874336 7183232 8065102 8530088 8563072 9748672 16130204 17060176 19497344 28227857 32260408 34120352 56455714 64520816 68240704 76618469 112911428 129041632 136481408 153236938 225822856 258083264 306473876 451645712 516166528 536329283 612947752 903291424 1072658566 1225895504 1806582848 2145317132 2451791008 3613165696 4290634264 4903582016 8581268528 9807164032 17162537056 34325074112 68650148224