Search a number
-
+
37842343808 = 2717233124391
BaseRepresentation
bin100011001111100101…
…000101011110000000
310121200022001020122012
4203033211011132000
51110000120000213
625215020432052
72506524420653
oct431745053600
9117608036565
1037842343808
111505a020005
1274013a8628
133751058519
141b8dbd389a
15eb73814a8
hex8cf945780

37842343808 has 128 divisors (see below), whose sum is σ = 85984727040. Its totient is φ = 16483737600.

The previous prime is 37842343793. The next prime is 37842343817. The reversal of 37842343808 is 80834324873.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539293 + ... + 1563683.

It is an arithmetic number, because the mean of its divisors is an integer number (671755680).

Almost surely, 237842343808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37842343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42992363520).

37842343808 is an abundant number, since it is smaller than the sum of its proper divisors (48142383232).

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

37842343808 is a wasteful number, since it uses less digits than its factorization.

37842343808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24476 (or 24464 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 37842343808 in words is "thirty-seven billion, eight hundred forty-two million, three hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 23 31 32 34 46 62 64 68 92 124 128 136 184 248 272 368 391 496 527 544 713 736 782 992 1054 1088 1426 1472 1564 1984 2108 2176 2852 2944 3128 3968 4216 5704 6256 8432 11408 12121 12512 16864 22816 24242 24391 25024 33728 45632 48484 48782 50048 67456 91264 96968 97564 193936 195128 387872 390256 414647 560993 756121 775744 780512 829294 1121986 1512242 1551488 1561024 1658588 2243972 3024484 3122048 3317176 4487944 6048968 6634352 8975888 9536881 12097936 12854057 13268704 17390783 17951776 19073762 24195872 25708114 26537408 34781566 35903552 38147524 48391744 51416228 53074816 69563132 71807104 76295048 96783488 102832456 139126264 152590096 205664912 278252528 295643311 305180192 411329824 556505056 591286622 610360384 822659648 1113010112 1182573244 1220720768 1645319296 2226020224 2365146488 4730292976 9460585952 18921171904 37842343808