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20115494448 = 2437795871291
BaseRepresentation
bin10010101110111110…
…100001011000110000
31220220212211222211220
4102232332201120300
5312144031310243
613124012505040
71311323611260
oct225676413060
956825758756
1020115494448
118592743785
123a9477b180
131b875b4b4a
14d8b78b7a0
157cae81783
hex4aefa1630

20115494448 has 160 divisors (see below), whose sum is σ = 60289474560. Its totient is φ = 5660478720.

The previous prime is 20115494447. The next prime is 20115494479. The reversal of 20115494448 is 84449451102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20115494447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15580683 + ... + 15581973.

It is an arithmetic number, because the mean of its divisors is an integer number (376809216).

Almost surely, 220115494448 is an apocalyptic number.

20115494448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20115494448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30144737280).

20115494448 is an abundant number, since it is smaller than the sum of its proper divisors (40173980112).

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

20115494448 is a wasteful number, since it uses less digits than its factorization.

20115494448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 20115494448 in words is "twenty billion, one hundred fifteen million, four hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 587 632 948 1106 1174 1264 1291 1659 1761 1896 2212 2348 2582 3318 3522 3792 3873 4109 4424 4696 5164 6636 7044 7746 8218 8848 9037 9392 10328 12327 13272 14088 15492 16436 18074 20656 24654 26544 27111 28176 30984 32872 36148 46373 49308 54222 61968 65744 72296 92746 98616 101989 108444 139119 144592 185492 197232 203978 216888 278238 305967 324611 370984 407956 433776 556476 611934 649222 713923 741968 757817 815912 973833 1112952 1223868 1298444 1427846 1515634 1631824 1947666 2141769 2225904 2273451 2447736 2596888 2855692 3031268 3895332 4283538 4546902 4895472 5193776 5304719 5711384 6062536 7790664 8567076 9093804 10609438 11422768 12125072 15581328 15914157 17134152 18187608 21218876 31828314 34268304 36375216 42437752 59867543 63656628 84875504 119735086 127313256 179602629 239470172 254626512 359205258 419072801 478940344 718410516 838145602 957880688 1257218403 1436821032 1676291204 2514436806 2873642064 3352582408 5028873612 6705164816 10057747224 20115494448