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3083309939970 = 23251321169124489
BaseRepresentation
bin101100110111100011100…
…101111111110100000010
3101220202120011121201111100
4230313203211333310002
5401004104321034340
610320241504355230
7435522203030331
oct54674345776402
911822504551440
103083309939970
11a89696096737
12419696315b16
131949a7617480
14a93394b7d18
155530d5ca830
hex2cde397fd02

3083309939970 has 96 divisors (see below), whose sum is σ = 8633745010800. Its totient is φ = 758926651392.

The previous prime is 3083309939947. The next prime is 3083309939993. The reversal of 3083309939970 is 799399033803.

It is an interprime number because it is at equal distance from previous prime (3083309939947) and next prime (3083309939993).

It can be written as a sum of positive squares in 8 ways, for example, as 958709264769 + 2124600675201 = 979137^2 + 1457601^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3083309939898 and 3083309939907.

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, 24705486 + ... + 24829974.

Almost surely, 23083309939970 is an apocalyptic number.

3083309939970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3083309939970 is an abundant number, since it is smaller than the sum of its proper divisors (5550435070830).

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

3083309939970 is a wasteful number, since it uses less digits than its factorization.

3083309939970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145684 (or 145681 counting only the distinct ones).

The product of its (nonzero) digits is 29760696, while the sum is 63.

The spelling of 3083309939970 in words is "three trillion, eighty-three billion, three hundred nine million, nine hundred thirty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 21169 42338 63507 105845 124489 127014 190521 211690 248978 275197 317535 373467 381042 550394 622445 635070 746934 825591 952605 1120401 1244890 1375985 1618357 1651182 1867335 1905210 2240802 2476773 2751970 3236714 3734670 4127955 4855071 4953546 5602005 8091785 8255910 9710142 11204010 12383865 14565213 16183570 24275355 24767730 29130426 48550710 72826065 145652130 2635307641 5270615282 7905922923 13176538205 15811845846 23717768769 26353076410 34258999333 39529614615 47435537538 68517998666 79059229230 102776997999 118588843845 171294996665 205553995998 237177687690 308330993997 342589993330 513884989995 616661987994 1027769979990 1541654969985 3083309939970