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56829789952 = 281356930011
BaseRepresentation
bin110100111011010100…
…011100011100000000
312102200120021110010021
4310323110130130000
51412341411234302
642035055343224
74051203146545
oct647324343400
9172616243107
1056829789952
1122112a31361
12b020221b14
135488a1bb60
142a71820bcc
15172928b437
hexd3b51c700

56829789952 has 72 divisors (see below), whose sum is σ = 122382333360. Its totient is φ = 26182164480.

The previous prime is 56829789943. The next prime is 56829789971. The reversal of 56829789952 is 25998792865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878627 + ... + 1908637.

It is an arithmetic number, because the mean of its divisors is an integer number (1699754630).

Almost surely, 256829789952 is an apocalyptic number.

56829789952 is a gapful number since it is divisible by the number (52) 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 56829789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61191166680).

56829789952 is an abundant number, since it is smaller than the sum of its proper divisors (65552543408).

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

56829789952 is a wasteful number, since it uses less digits than its factorization.

56829789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30609 (or 30595 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 70.

The spelling of 56829789952 in words is "fifty-six billion, eight hundred twenty-nine million, seven hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 569 832 1138 1664 2276 3328 4552 7397 9104 14794 18208 29588 30011 36416 59176 60022 72832 118352 120044 145664 236704 240088 390143 473408 480176 780286 946816 960352 1560572 1893632 1920704 3121144 3841408 6242288 7682816 12484576 17076259 24969152 34152518 49938304 68305036 99876608 136610072 221991367 273220144 443982734 546440288 887965468 1092880576 1775930936 2185761152 3551861872 4371522304 7103723744 14207447488 28414894976 56829789952