Search a number
-
+
38364816873480 = 23352539011259179
BaseRepresentation
bin10001011100100100000010…
…10010000001100000001000
312000211122022001101112001020
420232102001102001200020
520012032121104422410
6213332315322552440
711036523632563536
oct1056220122014010
9160748261345036
1038364816873480
1111251477a57a19
124377437668720
131853a2c520a86
14968c1d253156
15467e54982a70
hex22e481481808

38364816873480 has 64 divisors (see below), whose sum is σ = 115094995329600. Its totient is φ = 10230569414400.

The previous prime is 38364816873431. The next prime is 38364816873511. The reversal of 38364816873480 is 8437861846383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29838531 + ... + 31097709.

It is an arithmetic number, because the mean of its divisors is an integer number (1798359302025).

Almost surely, 238364816873480 is an apocalyptic number.

38364816873480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38364816873480 is an abundant number, since it is smaller than the sum of its proper divisors (76730178456120).

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

38364816873480 is a wasteful number, since it uses less digits than its factorization.

38364816873480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513094 (or 1513090 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 38364816873480 in words is "thirty-eight trillion, three hundred sixty-four billion, eight hundred sixteen million, eight hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 253901 507802 761703 1015604 1259179 1269505 1523406 2031208 2518358 2539010 3046812 3777537 3808515 5036716 5078020 6093624 6295895 7555074 7617030 10073432 10156040 12591790 15110148 15234060 18887685 25183580 30220296 30468120 37775370 50367160 75550740 151101480 319706807279 639413614558 959120421837 1278827229116 1598534036395 1918240843674 2557654458232 3197068072790 3836481687348 4795602109185 6394136145580 7672963374696 9591204218370 12788272291160 19182408436740 38364816873480