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309513082921 = 72192472892
BaseRepresentation
bin1001000000100000110…
…10101101100000101001
31002120220111110201012121
410200100122231200221
520032340322123141
6354104403311241
731235010540100
oct4402032554051
91076814421177
10309513082921
1110a29a0802a9
124bb9b37b521
1323257994b63
1410da2757037
1580b793a1d1
hex48106ad829

309513082921 has 81 divisors (see below), whose sum is σ = 392661319959. Its totient is φ = 243222509376.

The previous prime is 309513082919. The next prime is 309513082981. The reversal of 309513082921 is 129280315903.

The square root of 309513082921 is 556339.

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., 59433076521 + 250080006400 = 243789^2 + 500080^2 .

It is not a de Polignac number, because 309513082921 - 21 = 309513082919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (309513082981) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3477675045 + ... + 3477675133.

Almost surely, 2309513082921 is an apocalyptic number.

309513082921 is the 556339-th square number.

309513082921 is the 278170-th centered octagonal number.

It is an amenable number.

309513082921 is a deficient number, since it is larger than the sum of its proper divisors (83148237038).

309513082921 is an frugal number, since it uses more digits than its factorization.

309513082921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 309513082921 in words is "three hundred nine billion, five hundred thirteen million, eighty-two thousand, nine hundred twenty-one".

Divisors: 1 7 19 47 49 89 133 329 361 623 893 931 1691 2209 2303 2527 4183 4361 6251 7921 11837 15463 16967 17689 29281 32129 41971 43757 55447 79477 82859 108241 118769 150499 196601 204967 224903 293797 372287 388129 556339 797449 831383 1053493 1376207 1510063 1574321 2056579 2606009 2859481 3735419 3894373 5582143 7073453 7374451 9633449 10570441 17497489 18242063 20016367 26147933 39075001 49514171 70972961 73993087 122482423 134395607 140114569 183035531 332452291 346599197 496810727 857376961 940769249 2327166037 3477675089 6316593529 6585384743 16290162259 44216154703 309513082921