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2038834005180 = 2235717328059923
BaseRepresentation
bin11101101010110011111…
…110100000010010111100
321012220120211212201021020
4131222303332200102330
5231401013001131210
64200343304304140
7300205131050040
oct35526376402274
97186524781236
102038834005180
11716734709745
1228b181472050
1311a351b9a46b
1470974260020
153807c444770
hex1dab3fa04bc

2038834005180 has 96 divisors (see below), whose sum is σ = 6561981586944. Its totient is φ = 463325432064.

The previous prime is 2038834005179. The next prime is 2038834005211. The reversal of 2038834005180 is 815004388302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13957302 + ... + 14102621.

It is an arithmetic number, because the mean of its divisors is an integer number (68353974864).

Almost surely, 22038834005180 is an apocalyptic number.

2038834005180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038834005180 is an abundant number, since it is smaller than the sum of its proper divisors (4523147581764).

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

2038834005180 is a wasteful number, since it uses less digits than its factorization.

2038834005180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28060115 (or 28060113 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 2038834005180 in words is "two trillion, thirty-eight billion, eight hundred thirty-four million, five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 173 210 346 420 519 692 865 1038 1211 1730 2076 2422 2595 3460 3633 4844 5190 6055 7266 10380 12110 14532 18165 24220 36330 72660 28059923 56119846 84179769 112239692 140299615 168359538 196419461 280599230 336719076 392838922 420898845 561198460 589258383 785677844 841797690 982097305 1178516766 1683595380 1964194610 2357033532 2946291915 3928389220 4854366679 5892583830 9708733358 11785167660 14563100037 19417466716 24271833395 29126200074 33980566753 48543666790 58252400148 67961133506 72815500185 97087333580 101941700259 135922267012 145631000370 169902833765 203883400518 291262000740 339805667530 407766801036 509708501295 679611335060 1019417002590 2038834005180