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10231454464 = 28711975351
BaseRepresentation
bin10011000011101011…
…11001101100000000
3222102001021201221221
421201311321230000
5131423223020324
64411131324424
7511354633210
oct114165715400
928361251857
1010231454464
1143804311a0
121b965b0714
13c7093878a
146d0bb2240
153ed37c0e4
hex261d79b00

10231454464 has 144 divisors (see below), whose sum is σ = 25729675776. Its totient is φ = 3944448000.

The previous prime is 10231454461. The next prime is 10231454473. The reversal of 10231454464 is 46445413201.

It is not an unprimeable number, because it can be changed into a prime (10231454461) 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, 1909389 + ... + 1914739.

It is an arithmetic number, because the mean of its divisors is an integer number (178678304).

Almost surely, 210231454464 is an apocalyptic number.

10231454464 is a gapful number since it is divisible by the number (14) 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 10231454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864837888).

10231454464 is an abundant number, since it is smaller than the sum of its proper divisors (15498221312).

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

10231454464 is an equidigital number, since it uses as much as digits as its factorization.

10231454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 10231454464 its reverse (46445413201), we get a palindrome (56676867665).

The spelling of 10231454464 in words is "ten billion, two hundred thirty-one million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 616 679 704 776 896 1067 1232 1358 1408 1552 1792 2134 2464 2716 2816 3104 4268 4928 5351 5432 6208 7469 8536 9856 10702 10864 12416 14938 17072 19712 21404 21728 24832 29876 34144 37457 42808 43456 58861 59752 68288 74914 85616 86912 117722 119504 136576 149828 171232 173824 235444 239008 273152 299656 342464 412027 470888 478016 519047 599312 684928 824054 941776 956032 1038094 1198624 1369856 1648108 1883552 1912064 2076188 2397248 3296216 3633329 3767104 4152376 4794496 5709517 6592432 7266658 7534208 8304752 9588992 11419034 13184864 14533316 15068416 16609504 22838068 26369728 29066632 33219008 39966619 45676136 52739456 58133264 66438016 79933238 91352272 105478912 116266528 132876032 159866476 182704544 232533056 319732952 365409088 465066112 639465904 730818176 930132224 1278931808 1461636352 2557863616 5115727232 10231454464