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10294740480 = 29353473863
BaseRepresentation
bin10011001011001110…
…10100011000000000
3222120110101000001110
421211213110120000
5132040423143410
64421312003320
7513053564433
oct114547243000
928513330043
1010294740480
114403126992
121bb3830540
13c80a9631b
146d936781a
15403bcd720
hex2659d4600

10294740480 has 160 divisors (see below), whose sum is σ = 33014386944. Its totient is φ = 2736644096.

The previous prime is 10294740451. The next prime is 10294740497. The reversal of 10294740480 is 8404749201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2663029 + ... + 2666891.

Almost surely, 210294740480 is an apocalyptic number.

10294740480 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 10294740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507193472).

10294740480 is an abundant number, since it is smaller than the sum of its proper divisors (22719646464).

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

10294740480 is an equidigital number, since it uses as much as digits as its factorization.

10294740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10294740480 in words is "ten billion, two hundred ninety-four million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 347 384 480 512 640 694 768 960 1041 1280 1388 1536 1735 1920 2082 2560 2776 3470 3840 3863 4164 5205 5552 6940 7680 7726 8328 10410 11104 11589 13880 15452 16656 19315 20820 22208 23178 27760 30904 33312 38630 41640 44416 46356 55520 57945 61808 66624 77260 83280 88832 92712 111040 115890 123616 133248 154520 166560 177664 185424 222080 231780 247232 266496 309040 333120 370848 444160 463560 494464 532992 618080 666240 741696 888320 927120 988928 1236160 1332480 1340461 1483392 1854240 1977856 2472320 2664960 2680922 2966784 3708480 4021383 4944640 5361844 5933568 6702305 7416960 8042766 9889280 10723688 13404610 14833920 16085532 20106915 21447376 26809220 29667840 32171064 40213830 42894752 53618440 64342128 80427660 85789504 107236880 128684256 160855320 171579008 214473760 257368512 321710640 343158016 428947520 514737024 643421280 686316032 857895040 1029474048 1286842560 1715790080 2058948096 2573685120 3431580160 5147370240 10294740480