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40006246680 = 233554115869
BaseRepresentation
bin100101010000100011…
…101110000100011000
310211021002210220100000
4211100203232010120
51123413044343210
630213440413000
72614251325461
oct452043560430
9124232726300
1040006246680
1115a6a535294
127906017160
133a0745b91a
141d17355d68
15109231cac0
hex9508ee118

40006246680 has 96 divisors (see below), whose sum is σ = 134835901200. Its totient is φ = 10668329856.

The previous prime is 40006246589. The next prime is 40006246691. The reversal of 40006246680 is 8664260004.

It is a happy number.

40006246680 is a `hidden beast` number, since 400 + 0 + 6 + 246 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×400062466802 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2048215 + ... + 2067654.

Almost surely, 240006246680 is an apocalyptic number.

40006246680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40006246680 is an abundant number, since it is smaller than the sum of its proper divisors (94829654520).

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

40006246680 is a wasteful number, since it uses less digits than its factorization.

40006246680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115895 (or 4115879 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40006246680 in words is "forty billion, six million, two hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 4115869 8231738 12347607 16463476 20579345 24695214 32926952 37042821 41158690 49390428 61738035 74085642 82317380 98780856 111128463 123476070 148171284 164634760 185214105 222256926 246952140 296342568 333385389 370428210 444513852 493904280 555642315 666770778 740856420 889027704 1000156167 1111284630 1333541556 1481712840 1666926945 2000312334 2222569260 2667083112 3333853890 4000624668 4445138520 5000780835 6667707780 8001249336 10001561670 13335415560 20003123340 40006246680