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57070229472 = 25321979132019
BaseRepresentation
bin110101001001101001…
…101001011111100000
312110022022201001010200
4311021221221133200
51413334434320342
642115005025200
74060152642444
oct651151513740
9173268631120
1057070229472
1122226725103
12b088855200
1354c6794a69
142a9572c824
15174043294c
hexd49a697e0

57070229472 has 144 divisors (see below), whose sum is σ = 172999008000. Its totient is φ = 17793914112.

The previous prime is 57070229459. The next prime is 57070229473. The reversal of 57070229472 is 27492207075.

57070229472 is a `hidden beast` number, since 570 + 7 + 0 + 2 + 2 + 9 + 4 + 72 = 666.

57070229472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×570702294722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57070229473) 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, 366279 + ... + 498297.

It is an arithmetic number, because the mean of its divisors is an integer number (1201382000).

Almost surely, 257070229472 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 57070229472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86499504000).

57070229472 is an abundant number, since it is smaller than the sum of its proper divisors (115928778528).

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

57070229472 is a wasteful number, since it uses less digits than its factorization.

57070229472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132133 (or 132122 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 57070229472 in words is "fifty-seven billion, seventy million, two hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 79 96 114 144 152 158 171 228 237 288 304 316 342 456 474 608 632 684 711 912 948 1264 1368 1422 1501 1824 1896 2528 2736 2844 3002 3792 4503 5472 5688 6004 7584 9006 11376 12008 13509 18012 22752 24016 27018 36024 48032 54036 72048 108072 132019 144096 216144 264038 396057 432288 528076 792114 1056152 1188171 1584228 2112304 2376342 2508361 3168456 4224608 4752684 5016722 6336912 7525083 9505368 10033444 10429501 12673824 15050166 19010736 20066888 20859002 22575249 30100332 31288503 38021472 40133776 41718004 45150498 60200664 62577006 80267552 83436008 90300996 93865509 120401328 125154012 166872016 180601992 187731018 198160519 240802656 250308024 333744032 361203984 375462036 396321038 500616048 594481557 722407968 750924072 792642076 1001232096 1188963114 1501848144 1585284152 1783444671 2377926228 3003696288 3170568304 3566889342 4755852456 6341136608 7133778684 9511704912 14267557368 19023409824 28535114736 57070229472