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40251774690 = 234576964621
BaseRepresentation
bin100101011111001100…
…010101011011100010
310211220012211000110000
4211133030111123202
51124413423242230
630254051120430
72623322303541
oct453714253342
9124805730400
1040251774690
11160860940a6
1279742a3116
133a4629697a
141d3bbca158
1510a8b6bb60
hex95f3156e2

40251774690 has 80 divisors (see below), whose sum is σ = 108374971320. Its totient is φ = 10719682560.

The previous prime is 40251774649. The next prime is 40251774737. The reversal of 40251774690 is 9647715204.

40251774690 is a `hidden beast` number, since 4 + 0 + 2 + 517 + 7 + 46 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17202158649 + 23049616041 = 131157^2 + 151821^2 .

It is a super-2 number, since 2×402517746902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590580 + ... + 655200.

Almost surely, 240251774690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40251774690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54187485660).

40251774690 is an abundant number, since it is smaller than the sum of its proper divisors (68123196630).

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

40251774690 is a wasteful number, since it uses less digits than its factorization.

40251774690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65409 (or 65400 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40251774690 in words is "forty billion, two hundred fifty-one million, seven hundred seventy-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 769 810 1538 2307 3845 4614 6921 7690 11535 13842 20763 23070 34605 41526 62289 64621 69210 103815 124578 129242 193863 207630 311445 323105 387726 581589 622890 646210 969315 1163178 1744767 1938630 2907945 3489534 5234301 5815890 8723835 10468602 17447670 26171505 49693549 52343010 99387098 149080647 248467745 298161294 447241941 496935490 745403235 894483882 1341725823 1490806470 2236209705 2683451646 4025177469 4472419410 6708629115 8050354938 13417258230 20125887345 40251774690