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106006402040 = 23572114916809
BaseRepresentation
bin110001010111001111…
…0010101001111111000
3101010121202202011212112
41202232132111033320
53214100114331130
6120410525031452
710441636356500
oct1425636251770
9333552664775
10106006402040
1140a58939930
12186653b5588
139cc500a4a6
1451b8a58a00
152b566d9495
hex18ae7953f8

106006402040 has 96 divisors (see below), whose sum is σ = 302678823600. Its totient is φ = 33040949760.

The previous prime is 106006402039. The next prime is 106006402049. The reversal of 106006402040 is 40204600601.

It is a happy number.

It is a super-2 number, since 2×1060064020402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006401997 and 106006402015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006402049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436845 + ... + 2479964.

Almost surely, 2106006402040 is an apocalyptic number.

106006402040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006402040 is an abundant number, since it is smaller than the sum of its proper divisors (196672421560).

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

106006402040 is a wasteful number, since it uses less digits than its factorization.

106006402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916845 (or 4916834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 106006402040 in words is "one hundred six billion, six million, four hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 4916809 9833618 19667236 24584045 34417663 39334472 49168090 54084899 68835326 98336180 108169798 137670652 172088315 196672360 216339596 240923641 270424495 275341304 344176630 378594293 432679192 481847282 540848990 688353260 757188586 963694564 1081697980 1204618205 1376706520 1514377172 1892971465 1927389128 2163395960 2409236410 2650160051 3028754344 3785942930 4818472820 5300320102 7571885860 9636945640 10600640204 13250800255 15143771720 21201280408 26501600510 53003201020 106006402040