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3125000064 = 27323675281
BaseRepresentation
bin1011101001000011…
…1011011110000000
322001210020110012010
42322100323132000
522400000000224
61234031332520
7140304030234
oct27220733600
98053213163
103125000064
111363a8788a
12732681140
133aa56c284
142190645c4
15134535e29
hexba43b780

3125000064 has 128 divisors (see below), whose sum is σ = 8792628480. Its totient is φ = 981319680.

The previous prime is 3124999979. The next prime is 3125000089. The reversal of 3125000064 is 4600005213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3125000064.

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, 589104 + ... + 594384.

It is an arithmetic number, because the mean of its divisors is an integer number (68692410).

Almost surely, 23125000064 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 3125000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396314240).

3125000064 is an abundant number, since it is smaller than the sum of its proper divisors (5667628416).

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

3125000064 is a wasteful number, since it uses less digits than its factorization.

3125000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3125000064 is about 55901.7000099281. The cubic root of 3125000064 is about 1462.0088790871.

Adding to 3125000064 its reverse (4600005213), we get a palindrome (7725005277).

The spelling of 3125000064 in words is "three billion, one hundred twenty-five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 67 69 92 96 128 134 138 184 192 201 268 276 368 384 402 536 552 736 804 1072 1104 1472 1541 1608 2144 2208 2944 3082 3216 4288 4416 4623 5281 6164 6432 8576 8832 9246 10562 12328 12864 15843 18492 21124 24656 25728 31686 36984 42248 49312 63372 73968 84496 98624 121463 126744 147936 168992 197248 242926 253488 295872 337984 353827 364389 485852 506976 591744 675968 707654 728778 971704 1013952 1061481 1415308 1457556 1943408 2027904 2122962 2830616 2915112 3886816 4245924 5661232 5830224 7773632 8138021 8491848 11322464 11660448 15547264 16276042 16983696 22644928 23320896 24414063 32552084 33967392 45289856 46641792 48828126 65104168 67934784 97656252 130208336 135869568 195312504 260416672 390625008 520833344 781250016 1041666688 1562500032 3125000064