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68412026520 = 23345173122051
BaseRepresentation
bin111111101101101011…
…001010111010011000
320112120202022000210000
4333231223022322120
52110101434322040
651232243053000
74641212426235
oct775553127230
9215522260700
1068412026520
11270168950a2
1211313071160
1365b3462986
14344db7278c
151ba5eda130
hexfedacae98

68412026520 has 160 divisors (see below), whose sum is σ = 231271452720. Its totient is φ = 18137606400.

The previous prime is 68412026483. The next prime is 68412026531. The reversal of 68412026520 is 2562021486.

It is a happy number.

68412026520 is a `hidden beast` number, since 6 + 8 + 4 + 120 + 2 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 499495 + ... + 621545.

Almost surely, 268412026520 is an apocalyptic number.

68412026520 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 68412026520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115635726360).

68412026520 is an abundant number, since it is smaller than the sum of its proper divisors (162859426200).

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

68412026520 is a wasteful number, since it uses less digits than its factorization.

68412026520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122247 (or 122234 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 68412026520 in words is "sixty-eight billion, four hundred twelve million, twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 173 180 216 270 324 346 360 405 519 540 648 692 810 865 1038 1080 1384 1557 1620 1730 2076 2595 3114 3240 3460 4152 4671 5190 6228 6920 7785 9342 10380 12456 14013 15570 18684 20760 23355 28026 31140 37368 46710 56052 62280 70065 93420 112104 122051 140130 186840 244102 280260 366153 488204 560520 610255 732306 976408 1098459 1220510 1464612 1830765 2196918 2441020 2929224 3295377 3661530 4393836 4882040 5492295 6590754 7323060 8787672 9886131 10984590 13181508 14646120 16476885 19772262 21114823 21969180 26363016 32953770 39544524 42229646 43938360 49430655 63344469 65907540 79089048 84459292 98861310 105574115 126688938 131815080 168918584 190033407 197722620 211148230 253377876 316722345 380066814 395445240 422296460 506755752 570100221 633444690 760133628 844592920 950167035 1140200442 1266889380 1520267256 1710300663 1900334070 2280400884 2533778760 2850501105 3420601326 3800668140 4560801768 5701002210 6841202652 7601336280 8551503315 11402004420 13682405304 17103006630 22804008840 34206013260 68412026520