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10463430144 = 29329467503
BaseRepresentation
bin10011011111010101…
…10100011000000000
31000000012210022202210
421233222310120000
5132412114231034
64450135342120
7520202455146
oct115752643000
930005708683
1010463430144
11448a373a32
122040221940
13ca9a0a0ab
14713919596
154139008e9
hex26fab4600

10463430144 has 160 divisors (see below), whose sum is σ = 28955646720. Its totient is φ = 3353649152.

The previous prime is 10463430127. The next prime is 10463430161. The reversal of 10463430144 is 44103436401.

It is an interprime number because it is at equal distance from previous prime (10463430127) and next prime (10463430161).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20801797 + ... + 20802299.

It is an arithmetic number, because the mean of its divisors is an integer number (180972792).

Almost surely, 210463430144 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 10463430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

10463430144 is an abundant number, since it is smaller than the sum of its proper divisors (18492216576).

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

10463430144 is an equidigital number, since it uses as much as digits as its factorization.

10463430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10463430144 its reverse (44103436401), we get a palindrome (54566866545).

The spelling of 10463430144 in words is "ten billion, four hundred sixty-three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 467 503 512 696 768 928 934 1006 1392 1401 1509 1536 1856 1868 2012 2784 2802 3018 3712 3736 4024 5568 5604 6036 7424 7472 8048 11136 11208 12072 13543 14587 14848 14944 16096 22272 22416 24144 27086 29174 29888 32192 40629 43761 44544 44832 48288 54172 58348 59776 64384 81258 87522 89664 96576 108344 116696 119552 128768 162516 175044 179328 193152 216688 233392 234901 239104 257536 325032 350088 358656 386304 433376 466784 469802 650064 700176 704703 717312 772608 866752 933568 939604 1300128 1400352 1409406 1733504 1867136 1879208 2600256 2800704 2818812 3467008 3734272 3758416 5200512 5601408 5637624 6812129 6934016 7468544 7516832 10401024 11202816 11275248 13624258 15033664 20436387 20802048 22405632 22550496 27248516 30067328 40872774 45100992 54497032 60134656 81745548 90201984 108994064 120269312 163491096 180403968 217988128 326982192 360807936 435976256 653964384 871952512 1307928768 1743905024 2615857536 3487810048 5231715072 10463430144