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57451233400 = 235211105124847
BaseRepresentation
bin110101100000010111…
…000100000001111000
312111021212122001021021
4311200113010001320
51420130003432100
642220455152224
74102460266201
oct654027040170
9174255561237
1057451233400
11224017a5a90
12b174375674
1355576b4b82
142ad018a5a8
151763ae2a1a
hexd605c4078

57451233400 has 96 divisors (see below), whose sum is σ = 145861735680. Its totient is φ = 20870640000.

The previous prime is 57451233391. The next prime is 57451233407. The reversal of 57451233400 is 433215475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57451233407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299777 + ... + 2324623.

It is an arithmetic number, because the mean of its divisors is an integer number (1519393080).

Almost surely, 257451233400 is an apocalyptic number.

57451233400 is a gapful number since it is divisible by the number (50) 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 57451233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930867840).

57451233400 is an abundant number, since it is smaller than the sum of its proper divisors (88410502280).

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

57451233400 is a wasteful number, since it uses less digits than its factorization.

57451233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25925 (or 25916 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 57451233400 its reverse (433215475), we get a palindrome (57884448875).

The spelling of 57451233400 in words is "fifty-seven billion, four hundred fifty-one million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1051 1100 2102 2200 4204 5255 8408 10510 11561 21020 23122 24847 26275 42040 46244 49694 52550 57805 92488 99388 105100 115610 124235 198776 210200 231220 248470 273317 289025 462440 496940 546634 578050 621175 993880 1093268 1156100 1242350 1366585 2186536 2312200 2484700 2733170 4969400 5466340 6832925 10932680 13665850 26114197 27331700 52228394 54663400 104456788 130570985 208913576 261141970 287256167 522283940 574512334 652854925 1044567880 1149024668 1305709850 1436280835 2298049336 2611419700 2872561670 5222839400 5745123340 7181404175 11490246680 14362808350 28725616700 57451233400