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2100719200704 = 26383257512927
BaseRepresentation
bin11110100100011100100…
…111110010100111000000
321102211022201210101002220
4132210130213302213000
5233404233103410304
64245020155011040
7304525531404435
oct36443447624700
97384281711086
102100719200704
1173aa01250033
1229b172739a80
13123135076857
1473965245b8c
15399a042dad9
hex1e91c9f29c0

2100719200704 has 112 divisors (see below), whose sum is σ = 5647017212928. Its totient is φ = 689109925888.

The previous prime is 2100719200703. The next prime is 2100719200709. The reversal of 2100719200704 is 4070029170012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100719200703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3839089 + ... + 4352015.

It is an arithmetic number, because the mean of its divisors is an integer number (50419796544).

Almost surely, 22100719200704 is an apocalyptic number.

2100719200704 is a gapful number since it is divisible by the number (24) 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 2100719200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823508606464).

2100719200704 is an abundant number, since it is smaller than the sum of its proper divisors (3546298012224).

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

2100719200704 is a wasteful number, since it uses less digits than its factorization.

2100719200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513282 (or 513272 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 2100719200704 in words is "two trillion, one hundred billion, seven hundred nineteen million, two hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 257 332 498 514 664 771 996 1028 1328 1542 1992 2056 2656 3084 3984 4112 5312 6168 7968 8224 12336 15936 16448 21331 24672 42662 49344 63993 85324 127986 170648 255972 341296 511944 512927 682592 1023888 1025854 1365184 1538781 2047776 2051708 3077562 4095552 4103416 6155124 8206832 12310248 16413664 24620496 32827328 42572941 49240992 85145882 98481984 127718823 131822239 170291764 255437646 263644478 340583528 395466717 510875292 527288956 681167056 790933434 1021750584 1054577912 1362334112 1581866868 2043501168 2109155824 2724668224 3163733736 4087002336 4218311648 6327467472 8174004672 8436623296 10941245837 12654934944 21882491674 25309869888 32823737511 43764983348 65647475022 87529966696 131294950044 175059933392 262589900088 350119866784 525179800176 700239733568 1050359600352 2100719200704