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40749259264 = 29721985487
BaseRepresentation
bin100101111100110110…
…000101101000000000
310220011212220211222121
4211330312011220000
51131423302244024
630415302014024
72641542663100
oct457466055000
9126155824877
1040749259264
111631099267a
127a92a17314
133ac537ab3c
141d87cc9200
1510d76898e4
hex97cd85a00

40749259264 has 120 divisors (see below), whose sum is σ = 99697815360. Its totient is φ = 16544618496.

The previous prime is 40749259261. The next prime is 40749259289. The reversal of 40749259264 is 46295294704.

It is not an unprimeable number, because it can be changed into a prime (40749259261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433929 + ... + 519415.

It is an arithmetic number, because the mean of its divisors is an integer number (830815128).

Almost surely, 240749259264 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 40749259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49848907680).

40749259264 is an abundant number, since it is smaller than the sum of its proper divisors (58948556096).

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

40749259264 is an equidigital number, since it uses as much as digits as its factorization.

40749259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85538 (or 85515 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 40749259264 in words is "forty billion, seven hundred forty-nine million, two hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 512 532 608 784 896 931 1064 1216 1568 1792 1862 2128 2432 3136 3584 3724 4256 4864 6272 7448 8512 9728 12544 14896 17024 25088 29792 34048 59584 68096 85487 119168 170974 238336 341948 476672 598409 683896 1196818 1367792 1624253 2393636 2735584 3248506 4188863 4787272 5471168 6497012 8377726 9574544 10942336 11369771 12994024 16755452 19149088 21884672 22739542 25988048 33510904 38298176 43769344 45479084 51976096 67021808 76596352 79588397 90958168 103952192 134043616 153192704 159176794 181916336 207904384 268087232 306385408 318353588 363832672 415808768 536174464 636707176 727665344 831617536 1072348928 1273414352 1455330688 2144697856 2546828704 2910661376 5093657408 5821322752 10187314816 20374629632 40749259264