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2004117773020 = 2251131839350249
BaseRepresentation
bin11101001010011110101…
…110100101101011011100
321002120222102011101121221
4131022132232211223130
5230313413122214040
64132402355103124
7264535622666146
oct35123656455334
97076872141557
102004117773020
11702a3a265690
122844b2ba1aa4
13116cab6b015c
146cddd6ddc96
15371e976874a
hex1d29eba5adc

2004117773020 has 96 divisors (see below), whose sum is σ = 4745018880000. Its totient is φ = 704418777600.

The previous prime is 2004117773003. The next prime is 2004117773033. The reversal of 2004117773020 is 203777114002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5546856 + ... + 5897104.

It is an arithmetic number, because the mean of its divisors is an integer number (49427280000).

Almost surely, 22004117773020 is an apocalyptic number.

2004117773020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004117773020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372509440000).

2004117773020 is an abundant number, since it is smaller than the sum of its proper divisors (2740901106980).

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

2004117773020 is a wasteful number, since it uses less digits than its factorization.

2004117773020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351139 (or 351137 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 2004117773020 in words is "two trillion, four billion, one hundred seventeen million, seven hundred seventy-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 839 1364 1678 1705 3356 3410 4195 6820 8390 9229 16780 18458 26009 36916 46145 52018 92290 104036 130045 184580 260090 286099 350249 520180 572198 700498 1144396 1400996 1430495 1751245 2860990 3502490 3852739 5721980 7004980 7705478 10857719 15410956 19263695 21715438 38527390 43430876 54288595 77054780 108577190 119434909 217154380 238869818 293858911 477739636 587717822 597174545 1175435644 1194349090 1469294555 2388698180 2938589110 3232448021 5877178220 6464896042 9109626241 12929792084 16162240105 18219252482 32324480210 36438504964 45548131205 64648960420 91096262410 100205888651 182192524820 200411777302 400823554604 501029443255 1002058886510 2004117773020