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57211102736752 = 24231791427608633
BaseRepresentation
bin11010000001000011111110…
…11101001011000101110000
321111120022212010011101120211
431000201333131023011300
524444321314300034002
6321402230123113504
715023236313352256
oct1500417735130560
9244508763141524
1057211102736752
1117258102006028
1264bba8a672894
1325bcca3656493
14101b0642d65d6
156932d33b7dd7
hex34087f74b170

57211102736752 has 80 divisors (see below), whose sum is σ = 116393802819840. Its totient is φ = 27189860420096.

The previous prime is 57211102736747. The next prime is 57211102736819. The reversal of 57211102736752 is 25763720111275.

It is a super-2 number, since 2×572111027367522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57211102736696 and 57211102736705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93695028 + ... + 94303660.

It is an arithmetic number, because the mean of its divisors is an integer number (1454922535248).

Almost surely, 257211102736752 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 57211102736752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58196901409920).

57211102736752 is an abundant number, since it is smaller than the sum of its proper divisors (59182700083088).

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

57211102736752 is a wasteful number, since it uses less digits than its factorization.

57211102736752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610270 (or 610264 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 49.

The spelling of 57211102736752 in words is "fifty-seven trillion, two hundred eleven billion, one hundred two million, seven hundred thirty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 179 184 358 368 716 1427 1432 2854 2864 4117 5708 8234 11416 16468 22832 32821 32936 65642 65872 131284 255433 262568 510866 525136 608633 1021732 1217266 2043464 2434532 4086928 4869064 5874959 9738128 11749918 13998559 23499836 27997118 46999672 55994236 93999344 108945307 111988472 217890614 223976944 435781228 868519291 871562456 1737038582 1743124912 2505742061 3474077164 5011484122 6948154328 10022968244 13896308656 19975943693 20045936488 39951887386 40091872976 79903774772 155464953089 159807549544 310929906178 319615099088 621859812356 1243719624712 2487439249424 3575693921047 7151387842094 14302775684188 28605551368376 57211102736752