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57001534344 = 23321753878677
BaseRepresentation
bin110101000101100011…
…100110001110001000
312110010112102222010200
4311011203212032020
51413214343044334
642104112412200
74055360022216
oct650543461610
9173115388120
1057001534344
11221a0975477
12b069847060
1354b5492161
142a8a569cb6
1517393b3799
hexd458e6388

57001534344 has 96 divisors (see below), whose sum is σ = 166544628120. Its totient is φ = 17545402368.

The previous prime is 57001534339. The next prime is 57001534367. The reversal of 57001534344 is 44343510075.

57001534344 is a `hidden beast` number, since 5 + 70 + 0 + 153 + 434 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54854324100 + 2147210244 = 234210^2 + 46338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57001534299 and 57001534308.

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, 374467 + ... + 504210.

Almost surely, 257001534344 is an apocalyptic number.

It is an amenable number.

57001534344 is an abundant number, since it is smaller than the sum of its proper divisors (109543093776).

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

57001534344 is a wasteful number, since it uses less digits than its factorization.

57001534344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878759 (or 878752 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57001534344 in words is "fifty-seven billion, one million, five hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3816 5406 7208 8109 10812 16218 21624 32436 64872 878677 1757354 2636031 3514708 5272062 7029416 7908093 10544124 14937509 15816186 21088248 29875018 31632372 44812527 46569881 59750036 63264744 89625054 93139762 119500072 134437581 139709643 179250108 186279524 268875162 279419286 358500216 372559048 419128929 537750324 558838572 791687977 838257858 1075500648 1117677144 1583375954 1676515716 2375063931 3166751908 3353031432 4750127862 6333503816 7125191793 9500255724 14250383586 19000511448 28500767172 57001534344