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10336426144 = 2511173269631
BaseRepresentation
bin10011010000001100…
…10101100010100000
3222200100210212000221
421220012111202200
5132132111114034
64425401252424
7514101113122
oct115006254240
928610725027
1010336426144
114424708a50
122005794114
13c896001b5
14700ad9212
154076b4bb4
hex2681958a0

10336426144 has 96 divisors (see below), whose sum is σ = 22446668160. Its totient is φ = 4646476800.

The previous prime is 10336426141. The next prime is 10336426147. The reversal of 10336426144 is 44162463301.

It is an interprime number because it is at equal distance from previous prime (10336426141) and next prime (10336426147).

It is not an unprimeable number, because it can be changed into a prime (10336426141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16380709 + ... + 16381339.

It is an arithmetic number, because the mean of its divisors is an integer number (233819460).

Almost surely, 210336426144 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 10336426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223334080).

10336426144 is an abundant number, since it is smaller than the sum of its proper divisors (12110242016).

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

10336426144 is a wasteful number, since it uses less digits than its factorization.

10336426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 10336426144 its reverse (44162463301), we get a palindrome (54498889445).

The spelling of 10336426144 in words is "ten billion, three hundred thirty-six million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 269 346 352 538 631 692 1076 1262 1384 1903 2152 2524 2768 2959 3806 4304 5048 5536 5918 6941 7612 8608 10096 11836 13882 15224 20192 23672 27764 30448 46537 47344 55528 60896 93074 94688 109163 111056 169739 186148 218326 222112 339478 372296 436652 511907 678956 744592 873304 1023814 1200793 1357912 1489184 1746608 1867129 2047628 2401586 2715824 3493216 3734258 4095256 4803172 5431648 7468516 8190512 9606344 14937032 16381024 19212688 29364847 29874064 38425376 58729694 59748128 117459388 234918776 323013317 469837552 646026634 939675104 1292053268 2584106536 5168213072 10336426144