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57500022270080 = 275136911060369
BaseRepresentation
bin11010001001011110001000…
…11001101110100010000000
321112120221121102020101120102
431010233010121232202000
530014040021200120310
6322143051235301532
715053145104023235
oct1504570431564200
9245527542211512
1057500022270080
1117359693604755
126547a8114a8a8
1326112c8995b20
14102b0319bd78c
1569aa92de08a5
hex344bc466e880

57500022270080 has 64 divisors (see below), whose sum is σ = 148034913125400. Its totient is φ = 21230777450496.

The previous prime is 57500022270059. The next prime is 57500022270101. The reversal of 57500022270080 is 8007222000575.

It is an interprime number because it is at equal distance from previous prime (57500022270059) and next prime (57500022270101).

It can be written as a sum of positive squares in 4 ways, for example, as 47832051909184 + 9667970360896 = 6916072^2 + 3109336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×575000222700802 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455521865 + ... + 3455538504.

Almost surely, 257500022270080 is an apocalyptic number.

It is an amenable number.

57500022270080 is an abundant number, since it is smaller than the sum of its proper divisors (90534890855320).

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

57500022270080 is a wasteful number, since it uses less digits than its factorization.

57500022270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911060401 (or 6911060389 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 57500022270080 in words is "fifty-seven trillion, five hundred billion, twenty-two million, two hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 6911060369 13822120738 27644241476 34555301845 55288482952 69110603690 89843784797 110576965904 138221207380 179687569594 221153931808 276442414760 359375139188 442307863616 449218923985 552884829520 718750278376 884615727232 898437847970 1105769659040 1437500556752 1796875695940 2211539318080 2875001113504 3593751391880 4423078636160 5750002227008 7187502783760 11500004454016 14375005567520 28750011135040 57500022270080