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1004255152020 = 223353675067389
BaseRepresentation
bin11101001110100100100…
…01011000011110010100
310120000011021020112201000
432213102101120132110
5112423203304331040
62045203133103300
7132361243643031
oct16472221303624
93500137215630
101004255152020
113579a194165a
1214276b027b30
1373915a14983
143686b618388
151b1ca0dc130
hexe9d2458794

1004255152020 has 96 divisors (see below), whose sum is σ = 3132863193600. Its totient is φ = 267071617152.

The previous prime is 1004255152003. The next prime is 1004255152057. The reversal of 1004255152020 is 202515524001.

1004255152020 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 551 + 52 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335515 + ... + 2731874.

It is an arithmetic number, because the mean of its divisors is an integer number (32633991600).

Almost surely, 21004255152020 is an apocalyptic number.

1004255152020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004255152020 is an abundant number, since it is smaller than the sum of its proper divisors (2128608041580).

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

1004255152020 is a wasteful number, since it uses less digits than its factorization.

1004255152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067774 (or 5067766 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1004255152020 in words is "one trillion, four billion, two hundred fifty-five million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 367 540 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 9909 11010 13212 16515 19818 22020 33030 39636 49545 66060 99090 198180 5067389 10134778 15202167 20269556 25336945 30404334 45606501 50673890 60808668 76010835 91213002 101347780 136819503 152021670 182426004 228032505 273639006 304043340 456065010 547278012 684097515 912130020 1368195030 1859731763 2736390060 3719463526 5579195289 7438927052 9298658815 11158390578 16737585867 18597317630 22316781156 27895976445 33475171734 37194635260 50212757601 55791952890 66950343468 83687929335 100425515202 111583905780 167375858670 200851030404 251063788005 334751717340 502127576010 1004255152020