Search a number
-
+
75154932736 = 2101326592
BaseRepresentation
bin100010111111110010…
…1010100010000000000
321011222200021011012021
41011333211110100000
52212404130321421
654305315011224
75300260250032
oct1057745242000
9234880234167
1075154932736
1129967000364
1212695299b14
137119411400
1438cd4c7c52
151e4ce6d341
hex117f954400

75154932736 has 99 divisors (see below), whose sum is σ = 162929333541. Its totient is φ = 34634256384.

The previous prime is 75154932707. The next prime is 75154932757. The reversal of 75154932736 is 63723945157.

The square root of 75154932736 is 274144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11117593600 + 64037339136 = 105440^2 + 253056^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114043575 + ... + 114044233.

Almost surely, 275154932736 is an apocalyptic number.

75154932736 is the 274144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75154932736

75154932736 is an abundant number, since it is smaller than the sum of its proper divisors (87774400805).

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

75154932736 is an frugal number, since it uses more digits than its factorization.

75154932736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 674 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 52.

The spelling of 75154932736 in words is "seventy-five billion, one hundred fifty-four million, nine hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 659 676 832 1024 1318 1352 1664 2636 2704 3328 5272 5408 6656 8567 10544 10816 13312 17134 21088 21632 34268 42176 43264 68536 84352 86528 111371 137072 168704 173056 222742 274144 337408 434281 445484 548288 674816 868562 890968 1096576 1737124 1781936 2193152 3474248 3563872 4386304 5645653 6948496 7127744 8772608 11291306 13896992 14255488 22582612 27793984 28510976 45165224 55587968 57021952 73393489 90330448 111175936 114043904 146786978 180660896 222351872 293573956 361321792 444703744 587147912 722643584 1174295824 1445287168 2348591648 2890574336 4697183296 5781148672 9394366592 18788733184 37577466368 75154932736