Search a number
-
+
3758000064 = 263713215087
BaseRepresentation
bin1101111111111110…
…1000011111000000
3100200220100011221120
43133333220133000
530144022000224
61420522552240
7162061321260
oct33777503700
910626304846
103758000064
111659325085
1288a668680
1347b7504a0
1427915b7a0
1516edc1779
hexdffe87c0

3758000064 has 112 divisors (see below), whose sum is σ = 12237646848. Its totient is φ = 991116288.

The previous prime is 3758000039. The next prime is 3758000087. The reversal of 3758000064 is 4600008573.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3757999989 and 3758000034.

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, 90072 + ... + 125015.

It is an arithmetic number, because the mean of its divisors is an integer number (109264704).

Almost surely, 23758000064 is an apocalyptic number.

It is an amenable number.

3758000064 is an abundant number, since it is smaller than the sum of its proper divisors (8479646784).

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

3758000064 is a wasteful number, since it uses less digits than its factorization.

3758000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215122 (or 215112 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3758000064 is about 61302.5290179777. The cubic root of 3758000064 is about 1554.7202708813.

The spelling of 3758000064 in words is "three billion, seven hundred fifty-eight million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 215087 430174 645261 860348 1290522 1505609 1720696 2581044 2796131 3011218 3441392 4516827 5162088 5592262 6022436 6882784 8388393 9033654 10324176 11184524 12044872 13765568 16776786 18067308 19572917 20648352 22369048 24089744 33553572 36134616 39145834 41296704 44738096 48179488 58718751 67107144 72269232 78291668 89476192 96358976 117437502 134214288 144538464 156583336 178952384 234875004 268428576 289076928 313166672 469750008 536857152 626333344 939500016 1252666688 1879000032 3758000064