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1872884400920 = 235137996747147
BaseRepresentation
bin11011010000010000100…
…111000000001100011000
320122001020112102100112222
4123100100213000030120
5221141131401312140
63552220300323212
7252211551511601
oct33202047001430
96561215370488
101872884400920
11662316466875
12262b89243508
131077c612b360
14669104d8da8
1533ab84c65b5
hex1b4109c0318

1872884400920 has 128 divisors (see below), whose sum is σ = 4600437811200. Its totient is φ = 682052507136.

The previous prime is 1872884400913. The next prime is 1872884400943. The reversal of 1872884400920 is 290044882781.

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, 39700787 + ... + 39747933.

It is an arithmetic number, because the mean of its divisors is an integer number (35940920400).

Almost surely, 21872884400920 is an apocalyptic number.

1872884400920 is a gapful number since it is divisible by the number (10) 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 1872884400920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300218905600).

1872884400920 is an abundant number, since it is smaller than the sum of its proper divisors (2727553410280).

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

1872884400920 is a wasteful number, since it uses less digits than its factorization.

1872884400920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48217 (or 48213 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 1872884400920 in words is "one trillion, eight hundred seventy-two billion, eight hundred eighty-four million, four hundred thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 967 1027 1580 1934 2054 3160 3868 4108 4835 5135 7736 8216 9670 10270 12571 19340 20540 25142 38680 41080 47147 50284 62855 76393 94294 100568 125710 152786 188588 235735 251420 305572 377176 381965 471470 502840 611144 612911 763930 942940 993109 1225822 1527860 1885880 1986218 2451644 3055720 3064555 3724613 3972436 4903288 4965545 6129110 7449226 7944872 9931090 12258220 14898452 18623065 19862180 24516440 29796904 37246130 39724360 45591149 48419969 74492260 91182298 96839938 148984520 182364596 193679876 227955745 242099845 364729192 387359752 455911490 484199690 592684937 911822980 968399380 1185369874 1823645960 1936798760 2370739748 2963424685 3601700771 4741479496 5926849370 7203401542 11853698740 14406803084 18008503855 23707397480 28813606168 36017007710 46822110023 72034015420 93644220046 144068030840 187288440092 234110550115 374576880184 468221100230 936442200460 1872884400920