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68034612900 = 223521943277579
BaseRepresentation
bin111111010111001011…
…011100111010100100
320111121110010102121210
4333113023130322210
52103313330103100
651131001511420
74625650445052
oct772713347244
9214543112553
1068034612900
1126942846711
12112287a2570
1365531cbac7
1434159ab1d2
151b82cd8c50
hexfd72dcea4

68034612900 has 144 divisors (see below), whose sum is σ = 212026707200. Its totient is φ = 16787917440.

The previous prime is 68034612871. The next prime is 68034612907. The reversal of 68034612900 is 921643086.

It is not an unprimeable number, because it can be changed into a prime (68034612907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106311 + ... + 383889.

Almost surely, 268034612900 is an apocalyptic number.

68034612900 is a gapful number since it is divisible by the number (60) 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 68034612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106013353600).

68034612900 is an abundant number, since it is smaller than the sum of its proper divisors (143992094300).

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

68034612900 is a wasteful number, since it uses less digits than its factorization.

68034612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277658 (or 277651 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 68034612900 in words is "sixty-eight billion, thirty-four million, six hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 43 50 57 60 75 76 86 95 100 114 129 150 172 190 215 228 258 285 300 380 430 475 516 570 645 817 860 950 1075 1140 1290 1425 1634 1900 2150 2451 2580 2850 3225 3268 4085 4300 4902 5700 6450 8170 9804 12255 12900 16340 20425 24510 40850 49020 61275 81700 122550 245100 277579 555158 832737 1110316 1387895 1665474 2775790 3330948 4163685 5274001 5551580 6939475 8327370 10548002 11935897 13878950 15822003 16654740 20818425 21096004 23871794 26370005 27757900 31644006 35807691 41636850 47743588 52740010 59679485 63288012 71615382 79110015 83273700 105480020 119358970 131850025 143230764 158220030 179038455 226782043 238717940 263700050 298397425 316440060 358076910 395550075 453564086 527400100 596794850 680346129 716153820 791100150 895192275 907128172 1133910215 1193589700 1360692258 1582200300 1790384550 2267820430 2721384516 3401730645 3580769100 4535640860 5669551075 6803461290 11339102150 13606922580 17008653225 22678204300 34017306450 68034612900