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210057400400 = 24521612732563
BaseRepresentation
bin1100001110100001100…
…1011001000001010000
3202002012021001120011112
43003220121121001100
511420144143303100
6240255443032452
721114263305031
oct3035031310120
9662167046145
10210057400400
11810a2a20a61
123486396b728
1316a67b86283
14a249b06a88
1556e63beb35
hex30e8659050

210057400400 has 60 divisors (see below), whose sum is σ = 504709696512. Its totient is φ = 84015169920.

The previous prime is 210057400393. The next prime is 210057400403. The reversal of 210057400400 is 4004750012.

It is a super-2 number, since 2×2100574004002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210057400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6434519 + ... + 6467081.

Almost surely, 2210057400400 is an apocalyptic number.

210057400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210057400400 is an abundant number, since it is smaller than the sum of its proper divisors (294652296112).

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

210057400400 is a wasteful number, since it uses less digits than its factorization.

210057400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48708 (or 48697 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The spelling of 210057400400 in words is "two hundred ten billion, fifty-seven million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 16127 32254 32563 64508 65126 80635 129016 130252 161270 162815 258032 260504 322540 325630 403175 521008 645080 651260 806350 814075 1290160 1302520 1612700 1628150 2605040 3225400 3256300 6450800 6512600 13025200 525143501 1050287002 2100574004 2625717505 4201148008 5251435010 8402296016 10502870020 13128587525 21005740040 26257175050 42011480080 52514350100 105028700200 210057400400