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40690627506 = 235195877507
BaseRepresentation
bin100101111001010110…
…011011001110110010
310220000210121001100000
4211321112123032302
51131313300040011
630405405210430
72640231425034
oct457126331662
9126023531300
1040690627506
1116290886781
127a77260a16
133ab618c8a9
141d801c5c54
1510d2457356
hex97959b3b2

40690627506 has 96 divisors (see below), whose sum is σ = 96417135360. Its totient is φ = 12826072656.

The previous prime is 40690627501. The next prime is 40690627529. The reversal of 40690627506 is 60572609604.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40690627501) 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, 5416605 + ... + 5424111.

It is an arithmetic number, because the mean of its divisors is an integer number (1004345160).

Almost surely, 240690627506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40690627506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48208567680).

40690627506 is an abundant number, since it is smaller than the sum of its proper divisors (55726507854).

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

40690627506 is a wasteful number, since it uses less digits than its factorization.

40690627506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40690627506 in words is "forty billion, six hundred ninety million, six hundred twenty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 587 1026 1174 1539 1761 3078 3522 4617 5283 7507 9234 10566 11153 15014 15849 22306 22521 31698 33459 45042 47547 66918 67563 95094 100377 135126 142633 142641 200754 202689 285266 285282 301131 405378 427899 602262 608067 855798 903393 1216134 1283697 1806786 1824201 2567394 2710179 3648402 3851091 4406609 5420358 7702182 8813218 11553273 13219827 23106546 26439654 34659819 39659481 69319638 79318962 83725571 118978443 167451142 237956886 251176713 356935329 502353426 713870658 753530139 1070805987 1507060278 2141611974 2260590417 4521180834 6781771251 13563542502 20345313753 40690627506