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51537172324 = 221121726072
BaseRepresentation
bin101111111111110110…
…101101011101100100
311221000201021121122011
4233333312231131210
51321022004003244
635401552244004
73503065510501
oct577766553544
9157021247564
1051537172324
111a947432400
129ba3840604
134b24378751
1426cc94c4a8
1515197d3434
hexbffdad764

51537172324 has 81 divisors (see below), whose sum is σ = 105482764569. Its totient is φ = 22011665280.

The previous prime is 51537172301. The next prime is 51537172331. The reversal of 51537172324 is 42327173515.

It is a happy number.

The square root of 51537172324 is 227018.

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., 40124096100 + 11413076224 = 200310^2 + 106832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84904429 + ... + 84905035.

Almost surely, 251537172324 is an apocalyptic number.

51537172324 is the 227018-th square number.

It is an amenable number.

51537172324 is an abundant number, since it is smaller than the sum of its proper divisors (53945592245).

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

51537172324 is a wasteful number, since it uses less digits than its factorization.

51537172324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The spelling of 51537172324 in words is "fifty-one billion, five hundred thirty-seven million, one hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 607 748 1156 1214 2057 2428 3179 4114 6358 6677 8228 10319 12716 13354 20638 26708 34969 41276 69938 73447 113509 139876 146894 175423 227018 293788 350846 368449 454036 701692 736898 1248599 1473796 1929653 2497198 3859306 4052939 4994396 6263633 7718612 8105878 12527266 16211756 21226183 25054532 42452366 44582329 68899963 84904732 89164658 106481761 137799926 178329316 212963522 275599852 425927044 757899593 1171299371 1515799186 2342598742 3031598372 4685197484 12884293081 25768586162 51537172324