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40896215648 = 2517317237151
BaseRepresentation
bin100110000101100110…
…101011101001100000
310220120010110000020122
4212011212223221200
51132223412400043
630442031455412
72645306045261
oct460546535140
9126503400218
1040896215648
1116386936132
127b14087568
133b19952592
141d9d620968
1510e5517368
hex9859aba60

40896215648 has 48 divisors (see below), whose sum is σ = 85519857024. Its totient is φ = 19184486400.

The previous prime is 40896215641. The next prime is 40896215713. The reversal of 40896215648 is 84651269804.

It is a super-3 number, since 3×408962156483 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40896215648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40896215641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53873 + ... + 291023.

It is an arithmetic number, because the mean of its divisors is an integer number (1781663688).

Almost surely, 240896215648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40896215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42759928512).

40896215648 is an abundant number, since it is smaller than the sum of its proper divisors (44623641376).

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

40896215648 is a wasteful number, since it uses less digits than its factorization.

40896215648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237495 (or 237487 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 40896215648 in words is "forty billion, eight hundred ninety-six million, two hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 317 544 634 1268 2536 5072 5389 10144 10778 21556 43112 86224 172448 237151 474302 948604 1897208 3794416 4031567 7588832 8063134 16126268 32252536 64505072 75176867 129010144 150353734 300707468 601414936 1202829872 1278006739 2405659744 2556013478 5112026956 10224053912 20448107824 40896215648