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10044004620 = 22351323672699
BaseRepresentation
bin10010101101010101…
…10101100100001100
3221220222120022010010
421112222311210030
5131032231121440
64340353513220
7503620426206
oct112652654414
927828508103
1010044004620
114294640371
121b43872810
13c40b56a00
146b3d39776
153dbba1580
hex256ab590c

10044004620 has 144 divisors (see below), whose sum is σ = 30547238400. Its totient is φ = 2464720128.

The previous prime is 10044004603. The next prime is 10044004631. The reversal of 10044004620 is 2640044001.

It is a super-3 number, since 3×100440046203 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720031 + ... + 3722729.

It is an arithmetic number, because the mean of its divisors is an integer number (212133600).

Almost surely, 210044004620 is an apocalyptic number.

10044004620 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 10044004620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273619200).

10044004620 is an abundant number, since it is smaller than the sum of its proper divisors (20503233780).

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

10044004620 is a wasteful number, since it uses less digits than its factorization.

10044004620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10044004620 its reverse (2640044001), we get a palindrome (12684048621).

The spelling of 10044004620 in words is "ten billion, forty-four million, four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 367 390 507 676 734 780 845 1014 1101 1468 1690 1835 2028 2202 2535 2699 3380 3670 4404 4771 5070 5398 5505 7340 8097 9542 10140 10796 11010 13495 14313 16194 19084 22020 23855 26990 28626 32388 35087 40485 47710 53980 57252 62023 70174 71565 80970 95420 105261 124046 140348 143130 161940 175435 186069 210522 248092 286260 310115 350870 372138 421044 456131 526305 620230 701740 744276 912262 930345 990533 1052610 1240460 1368393 1824524 1860690 1981066 2105220 2280655 2736786 2971599 3721380 3962132 4561310 4952665 5473572 5943198 6841965 9122620 9905330 11886396 12876929 13683930 14857995 19810660 25753858 27367860 29715990 38630787 51507716 59431980 64384645 77261574 128769290 154523148 167400077 193153935 257538580 334800154 386307870 502200231 669600308 772615740 837000385 1004400462 1674000770 2008800924 2511001155 3348001540 5022002310 10044004620