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38942617590 = 23351313533119
BaseRepresentation
bin100100010001001010…
…010010111111110110
310201111222101221112000
4210101022102333312
51114223302230330
625520123240130
72546014534152
oct442112227766
9121458357460
1038942617590
1115574101a88
127669979046
133897ca39b6
141c55da4062
15102dc6d560
hex911292ff6

38942617590 has 128 divisors (see below), whose sum is σ = 104969779200. Its totient is φ = 10272936960.

The previous prime is 38942617561. The next prime is 38942617619. The reversal of 38942617590 is 9571624983.

38942617590 is a `hidden beast` number, since 3 + 8 + 9 + 42 + 6 + 1 + 7 + 590 = 666.

38942617590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38942617561) and next prime (38942617619).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12484051 + ... + 12487169.

It is an arithmetic number, because the mean of its divisors is an integer number (820076400).

It is a 1-persistent number, because it is pandigital, but 2⋅38942617590 = 77885235180 is not.

Almost surely, 238942617590 is an apocalyptic number.

38942617590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38942617590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484889600).

38942617590 is an abundant number, since it is smaller than the sum of its proper divisors (66027161610).

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

38942617590 is a wasteful number, since it uses less digits than its factorization.

38942617590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38942617590 in words is "thirty-eight billion, nine hundred forty-two million, six hundred seventeen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 353 393 655 706 786 1059 1179 1310 1765 1965 2118 2358 3119 3177 3530 3537 3930 5295 5895 6238 6354 7074 9357 9531 10590 11790 15595 15885 17685 18714 19062 28071 31190 31770 35370 46243 46785 47655 56142 84213 92486 93570 95310 138729 140355 168426 231215 277458 280710 408589 416187 421065 462430 693645 817178 832374 842130 1101007 1225767 1248561 1387290 2042945 2080935 2202014 2451534 2497122 3303021 3677301 4085890 4161870 5505035 6128835 6242805 6606042 7354602 9909063 11010070 11031903 12257670 12485610 16515105 18386505 19818126 22063806 29727189 33030210 36773010 49545315 55159515 59454378 99090630 110319030 144231917 148635945 288463834 297271890 432695751 721159585 865391502 1298087253 1442319170 2163478755 2596174506 3894261759 4326957510 6490436265 7788523518 12980872530 19471308795 38942617590