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40825599384 = 23353186717191
BaseRepresentation
bin100110000001011001…
…010011010110011000
310220101012120022221110
4212001121103112120
51132102323140014
630431030140320
72643460604043
oct460131232630
9126335508843
1040825599384
111634aa94089
127ab44b16a0
133b081293cb
141d940bbc5a
1510de218d59
hex981653598

40825599384 has 64 divisors (see below), whose sum is σ = 104051485440. Its totient is φ = 13343840640.

The previous prime is 40825599377. The next prime is 40825599391. The reversal of 40825599384 is 48399552804.

It is an interprime number because it is at equal distance from previous prime (40825599377) and next prime (40825599391).

It is a super-2 number, since 2×408255993842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2366229 + ... + 2383419.

It is an arithmetic number, because the mean of its divisors is an integer number (1625804460).

Almost surely, 240825599384 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 40825599384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52025742720).

40825599384 is an abundant number, since it is smaller than the sum of its proper divisors (63225886056).

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

40825599384 is a wasteful number, since it uses less digits than its factorization.

40825599384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19120 (or 19116 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 40825599384 in words is "forty billion, eight hundred twenty-five million, five hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1867 3734 5601 7468 11202 14936 17191 22404 34382 44808 51573 68764 98951 103146 137528 197902 206292 296853 395804 412584 593706 791608 911123 1187412 1822246 2374824 2733369 3644492 5466738 7288984 10933476 21866952 32095597 64191194 96286791 128382388 192573582 256764776 385147164 770294328 1701066641 3402133282 5103199923 6804266564 10206399846 13608533128 20412799692 40825599384