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68145960640 = 2651737338563
BaseRepresentation
bin111111011101110100…
…001101011011000000
320111220012122111000011
4333131310031123000
52104030331220030
651150020234304
74631502052042
oct773564153300
9214805574004
1068145960640
112699a68893a
1211259b3b994
1365702b6744
1434266b3a92
151b8c980b2a
hexfddd0d6c0

68145960640 has 112 divisors (see below), whose sum is σ = 176462265312. Its totient is φ = 24961499136.

The previous prime is 68145960637. The next prime is 68145960667. The reversal of 68145960640 is 4606954186.

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, 31999 + ... + 370561.

Almost surely, 268145960640 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 68145960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88231132656).

68145960640 is an abundant number, since it is smaller than the sum of its proper divisors (108316304672).

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

68145960640 is a wasteful number, since it uses less digits than its factorization.

68145960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338634 (or 338624 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 68145960640 in words is "sixty-eight billion, one hundred forty-five million, nine hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 136 148 160 170 185 272 296 320 340 370 544 592 629 680 740 1088 1184 1258 1360 1480 2368 2516 2720 2960 3145 5032 5440 5920 6290 10064 11840 12580 20128 25160 40256 50320 100640 201280 338563 677126 1354252 1692815 2708504 3385630 5417008 5755571 6771260 10834016 11511142 12526831 13542520 21668032 23022284 25053662 27085040 28777855 46044568 50107324 54170080 57555710 62634155 92089136 100214648 108340160 115111420 125268310 184178272 200429296 212956127 230222840 250536620 368356544 400858592 425912254 460445680 501073240 801717184 851824508 920891360 1002146480 1064780635 1703649016 1841782720 2004292960 2129561270 3407298032 4008585920 4259122540 6814596064 8518245080 13629192128 17036490160 34072980320 68145960640