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97530653826 = 2342997214021
BaseRepresentation
bin101101011010101000…
…1111010110010000010
3100022202002010120010000
41122311101322302002
53044220321410301
6112445512220430
710021620610344
oct1326521726202
9308662116100
1097530653826
11383a9569841
1216a9a99a716
139274053a68
144a1310d294
15280c566786
hex16b547ac82

97530653826 has 80 divisors (see below), whose sum is σ = 228408558840. Its totient is φ = 31065431040.

The previous prime is 97530653767. The next prime is 97530653837. The reversal of 97530653826 is 62835603579.

It is a happy number.

97530653826 is a `hidden beast` number, since 9 + 75 + 30 + 6 + 538 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66695645025 + 30835008801 = 258255^2 + 175599^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 348696 + ... + 562716.

Almost surely, 297530653826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97530653826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204279420).

97530653826 is an abundant number, since it is smaller than the sum of its proper divisors (130877905014).

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

97530653826 is a wasteful number, since it uses less digits than its factorization.

97530653826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214161 (or 214152 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 97530653826 in words is "ninety-seven billion, five hundred thirty million, six hundred fifty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 97 162 174 194 261 291 522 582 783 873 1566 1746 2349 2619 2813 4698 5238 5626 7857 8439 15714 16878 25317 50634 75951 151902 214021 227853 428042 455706 642063 1284126 1926189 3852378 5778567 6206609 11557134 12413218 17335701 18619827 20760037 34671402 37239654 41520074 55859481 62280111 111718962 124560222 167578443 186840333 335156886 373680666 502735329 560520999 602041073 1005470658 1121041998 1204082146 1681562997 1806123219 3363125994 3612246438 5418369657 10836739314 16255108971 32510217942 48765326913 97530653826