Search a number
-
+
3115316887072 = 2513191732278291
BaseRepresentation
bin101101010101010111010…
…110110011111000100000
3102000211011210100002201121
4231111113112303320200
5402020132110341242
610343053512342024
7441034312424035
oct55252726637040
912024153302647
103115316887072
11aa1220191835
124239293a4914
13197a08719a20
14aaad42a938c
15560834da667
hex2d5575b3e20

3115316887072 has 96 divisors (see below), whose sum is σ = 6992898333120. Its totient is φ = 1354288481280.

The previous prime is 3115316887063. The next prime is 3115316887079. The reversal of 3115316887072 is 2707886135113.

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

It is not an unprimeable number, because it can be changed into a prime (3115316887079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228247 + ... + 2506537.

It is an arithmetic number, because the mean of its divisors is an integer number (72842690970).

Almost surely, 23115316887072 is an apocalyptic number.

3115316887072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115316887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496449166560).

3115316887072 is an abundant number, since it is smaller than the sum of its proper divisors (3877581446048).

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

3115316887072 is a wasteful number, since it uses less digits than its factorization.

3115316887072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278506 (or 2278498 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 3115316887072 in words is "three trillion, one hundred fifteen billion, three hundred sixteen million, eight hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 173 208 247 304 346 416 494 608 692 988 1384 1976 2249 2768 3287 3952 4498 5536 6574 7904 8996 13148 17992 26296 35984 42731 52592 71968 85462 105184 170924 341848 683696 1367392 2278291 4556582 9113164 18226328 29617783 36452656 43287529 59235566 72905312 86575058 118471132 173150116 236942264 346300232 394144343 473884528 562737877 692600464 788288686 947769056 1125475754 1385200928 1576577372 2250951508 3153154744 4501903016 5123876459 6306309488 7488742517 9003806032 10247752918 12612618976 14977485034 18007612064 20495505836 29954970068 40991011672 59909940136 81982023344 97353652721 119819880272 163964046688 194707305442 239639760544 389414610884 778829221768 1557658443536 3115316887072