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10250104440 = 23351728117881
BaseRepresentation
bin10011000101111010…
…00010111001111000
3222110100101020220210
421202331002321320
5131443011320230
64413035151120
7512002310262
oct114275027170
928410336823
1010250104440
11438aa0a1a4
121ba08a54a0
13c74768574
146d3468b32
153eed12eb0
hex262f42e78

10250104440 has 128 divisors (see below), whose sum is σ = 32676851520. Its totient is φ = 2563276800.

The previous prime is 10250104429. The next prime is 10250104451. The reversal of 10250104440 is 4440105201.

It is a happy number.

10250104440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10250104429) and next prime (10250104451).

It is a congruent number.

It is an unprimeable number.

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, 564300 + ... + 582180.

Almost surely, 210250104440 is an apocalyptic number.

10250104440 is a gapful number since it is divisible by the number (10) 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 10250104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338425760).

10250104440 is an abundant number, since it is smaller than the sum of its proper divisors (22426747080).

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

10250104440 is a wasteful number, since it uses less digits than its factorization.

10250104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10250104440 its reverse (4440105201), we get a palindrome (14690209641).

The spelling of 10250104440 in words is "ten billion, two hundred fifty million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 281 340 408 510 562 680 843 1020 1124 1405 1686 2040 2248 2810 3372 4215 4777 5620 6744 8430 9554 11240 14331 16860 17881 19108 23885 28662 33720 35762 38216 47770 53643 57324 71524 71655 89405 95540 107286 114648 143048 143310 178810 191080 214572 268215 286620 303977 357620 429144 536430 573240 607954 715240 911931 1072860 1215908 1519885 1823862 2145720 2431816 3039770 3647724 4559655 5024561 6079540 7295448 9119310 10049122 12159080 15073683 18238620 20098244 25122805 30147366 36477240 40196488 50245610 60294732 75368415 85417537 100491220 120589464 150736830 170835074 200982440 256252611 301473660 341670148 427087685 512505222 602947320 683340296 854175370 1025010444 1281263055 1708350740 2050020888 2562526110 3416701480 5125052220 10250104440