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57434600280 = 2335672106621
BaseRepresentation
bin110101011111010111…
…100111001101011000
312111020201022222220210
4311133113213031120
51420111224202110
642215102451120
74102166022141
oct653727471530
9174221288823
1057434600280
11223a3375302
12b16a893aa0
1355541100a5
142acbc9aac8
151762409520
hexd5f5e7358

57434600280 has 96 divisors (see below), whose sum is σ = 174915523440. Its totient is φ = 15087156480.

The previous prime is 57434600231. The next prime is 57434600291. The reversal of 57434600280 is 8200643475.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485370 + ... + 591990.

Almost surely, 257434600280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57434600280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87457761720).

57434600280 is an abundant number, since it is smaller than the sum of its proper divisors (117480923160).

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

57434600280 is a wasteful number, since it uses less digits than its factorization.

57434600280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106769 (or 106698 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 57434600280 in words is "fifty-seven billion, four hundred thirty-four million, six hundred thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 4489 8040 8978 13467 17956 22445 26934 35912 44890 53868 67335 89780 106621 107736 134670 179560 213242 269340 319863 426484 533105 538680 639726 852968 1066210 1279452 1599315 2132420 2558904 3198630 4264840 6397260 7143607 12794520 14287214 21430821 28574428 35718035 42861642 57148856 71436070 85723284 107154105 142872140 171446568 214308210 285744280 428616420 478621669 857232840 957243338 1435865007 1914486676 2393108345 2871730014 3828973352 4786216690 5743460028 7179325035 9572433380 11486920056 14358650070 19144866760 28717300140 57434600280