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10450226688 = 293115691087
BaseRepresentation
bin10011011101110000…
…11100111000000000
3222222021221112000220
421232320130320000
5132400224223223
64444544343040
7516652314126
oct115670347000
928867845026
1010450226688
114482975a90
122037914a80
13ca70663b5
14711c7d916
154126936e3
hex26ee1ce00

10450226688 has 160 divisors (see below), whose sum is σ = 30452336640. Its totient is φ = 3158261760.

The previous prime is 10450226687. The next prime is 10450226701. The reversal of 10450226688 is 88662205401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450226681) 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, 9613281 + ... + 9614367.

It is an arithmetic number, because the mean of its divisors is an integer number (190327104).

Almost surely, 210450226688 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 10450226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226168320).

10450226688 is an abundant number, since it is smaller than the sum of its proper divisors (20002109952).

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

10450226688 is a wasteful number, since it uses less digits than its factorization.

10450226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1672 counting only the distinct ones).

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

The spelling of 10450226688 in words is "ten billion, four hundred fifty million, two hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 569 704 768 1056 1087 1138 1408 1536 1707 2112 2174 2276 2816 3261 3414 4224 4348 4552 5632 6259 6522 6828 8448 8696 9104 11957 12518 13044 13656 16896 17392 18208 18777 23914 25036 26088 27312 34784 35871 36416 37554 47828 50072 52176 54624 69568 71742 72832 75108 95656 100144 104352 109248 139136 143484 145664 150216 191312 200288 208704 218496 278272 286968 291328 300432 382624 400576 417408 436992 556544 573936 600864 618503 765248 801152 834816 873984 1147872 1201728 1237006 1530496 1602304 1669632 1855509 2295744 2403456 2474012 3060992 3204608 3711018 4591488 4806912 4948024 6121984 6803533 7422036 9182976 9613824 9896048 13607066 14844072 18365952 19792096 20410599 27214132 29688144 39584192 40821198 54428264 59376288 79168384 81642396 108856528 118752576 158336768 163284792 217713056 237505152 316673536 326569584 435426112 475010304 653139168 870852224 950020608 1306278336 1741704448 2612556672 3483408896 5225113344 10450226688