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368727058441 = 7222323892
BaseRepresentation
bin1010101110110011101…
…10000110100000001001
31022020202020000100002001
411113121312012200021
522020123111332231
6441220232311001
735432254166200
oct5273166064011
91266666010061
10368727058441
111324158a2555
125b565b42461
1328a036233b1
1413bbca7c237
1598d1176b61
hex55d9d86809

368727058441 has 27 divisors (see below), whose sum is σ = 431969916231. Its totient is φ = 313825662864.

The previous prime is 368727058433. The next prime is 368727058463. The reversal of 368727058441 is 144850727863.

The square root of 368727058441 is 607229.

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., 87042110841 + 281684947600 = 295029^2 + 530740^2 .

It is not a de Polignac number, because 368727058441 - 23 = 368727058433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (368727058411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 947884275 + ... + 947884663.

Almost surely, 2368727058441 is an apocalyptic number.

368727058441 is the 607229-th square number.

368727058441 is the 303615-th centered octagonal number.

It is an amenable number.

368727058441 is a deficient number, since it is larger than the sum of its proper divisors (63242857790).

368727058441 is an frugal number, since it uses more digits than its factorization.

368727058441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 368727058441 in words is "three hundred sixty-eight billion, seven hundred twenty-seven million, fifty-eight thousand, four hundred forty-one".

Divisors: 1 7 49 223 389 1561 2723 10927 19061 49729 86747 151321 348103 607229 1059247 2436721 4250603 7414729 19344581 33744583 135412067 236212081 947884469 1653484567 7525042009 52675294063 368727058441