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2063968100 = 2252191086299
BaseRepresentation
bin111101100000101…
…1010011101100100
312022211201102221222
41323001122131210
513211333434400
6540445555512
7102101303465
oct17301323544
95284642858
102063968100
1196a068867
12497275b98
1326b7b34cc
1415818ad6c
15c12eb185
hex7b05a764

2063968100 has 36 divisors (see below), whose sum is σ = 4714542000. Its totient is φ = 782134560.

The previous prime is 2063968097. The next prime is 2063968111. The reversal of 2063968100 is 18693602.

It is a super-2 number, since 2×20639681002 = 8519928635635220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541250 + ... + 545049.

It is an arithmetic number, because the mean of its divisors is an integer number (130959500).

Almost surely, 22063968100 is an apocalyptic number.

2063968100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2063968100 is an abundant number, since it is smaller than the sum of its proper divisors (2650573900).

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

2063968100 is a wasteful number, since it uses less digits than its factorization.

2063968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086332 (or 1086325 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2063968100 is about 45430.9156852468. The cubic root of 2063968100 is about 1273.2127926669.

The spelling of 2063968100 in words is "two billion, sixty-three million, nine hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 1086299 2172598 4345196 5431495 10862990 20639681 21725980 27157475 41279362 54314950 82558724 103198405 108629900 206396810 412793620 515992025 1031984050 2063968100