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972030359056 = 24103223932
BaseRepresentation
bin11100010010100011000…
…01100011011000010000
310102220222110121110010111
432021101201203120100
5111411204232442211
62022313344011104
7130140550504231
oct16112141433020
93386873543114
10972030359056
11345265884759
12138477000a94
137087b74a343
143509191b088
151a440eea421
hexe251863610

972030359056 has 45 divisors (see below), whose sum is σ = 1902565946829. Its totient is φ = 481095458688.

The previous prime is 972030359051. The next prime is 972030359137. The reversal of 972030359056 is 650953030279.

It is a happy number.

The square root of 972030359056 is 985916.

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., 20203779600 + 951826579456 = 142140^2 + 975616^2 .

It is a super-2 number, since 2×9720303590562 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972030359051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 406196196 + ... + 406198588.

Almost surely, 2972030359056 is an apocalyptic number.

972030359056 is the 985916-th square number.

It is an amenable number.

972030359056 is a deficient number, since it is larger than the sum of its proper divisors (930535587773).

972030359056 is an frugal number, since it uses more digits than its factorization.

972030359056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 49.

Multiplying 972030359056 by its sum of digits (49), we get a square (47629487593744 = 69014122).

The spelling of 972030359056 in words is "nine hundred seventy-two billion, thirty million, three hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 103 206 412 824 1648 2393 4786 9572 10609 19144 21218 38288 42436 84872 169744 246479 492958 985916 1971832 3943664 5726449 11452898 22905796 25387337 45811592 50774674 91623184 101549348 203098696 406197392 589824247 1179648494 2359296988 4718593976 9437187952 60751897441 121503794882 243007589764 486015179528 972030359056