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10426755920 = 2457411034409
BaseRepresentation
bin10011011010111101…
…11010101101010000
3222220122210002012012
421231132322231100
5132323222142140
64442345322052
7516245651210
oct115536725520
928818702165
1010426755920
1144706a5059
12202ba96328
13ca2239279
1470cad0240
154105a9265
hex26d7bab50

10426755920 has 160 divisors (see below), whose sum is σ = 28663165440. Its totient is φ = 3453050880.

The previous prime is 10426755887. The next prime is 10426755923. The reversal of 10426755920 is 2955762401.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426755923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2362676 + ... + 2367084.

It is an arithmetic number, because the mean of its divisors is an integer number (179144784).

Almost surely, 210426755920 is an apocalyptic number.

10426755920 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 10426755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331582720).

10426755920 is an abundant number, since it is smaller than the sum of its proper divisors (18236409520).

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

10426755920 is a wasteful number, since it uses less digits than its factorization.

10426755920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 10426755920 in words is "ten billion, four hundred twenty-six million, seven hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 103 112 140 164 205 206 280 287 328 410 412 515 560 574 656 721 820 824 1030 1148 1435 1442 1640 1648 2060 2296 2870 2884 3280 3605 4120 4223 4409 4592 5740 5768 7210 8240 8446 8818 11480 11536 14420 16892 17636 21115 22045 22960 28840 29561 30863 33784 35272 42230 44090 57680 59122 61726 67568 70544 84460 88180 118244 123452 147805 154315 168920 176360 180769 236488 246904 295610 308630 337840 352720 361538 454127 472976 493808 591220 617260 723076 903845 908254 1182440 1234520 1265383 1446152 1807690 1816508 2270635 2364880 2469040 2530766 2892304 3178889 3615380 3633016 4541270 5061532 6326915 6357778 7230760 7266032 9082540 10123064 12653830 12715556 14461520 15894445 18165080 18619207 20246128 25307660 25431112 31788890 36330160 37238414 50615320 50862224 63577780 74476828 93096035 101230640 127155560 130334449 148953656 186192070 254311120 260668898 297907312 372384140 521337796 651672245 744768280 1042675592 1303344490 1489536560 2085351184 2606688980 5213377960 10426755920