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332076682413 = 327193113372647
BaseRepresentation
bin1001101010100010101…
…00000000110010101101
31011202010222212022211200
410311101110000302231
520420043112314123
6412315351440113
732664112141020
oct4652124006255
91152128768750
10332076682413
111189186a2593
1254437986039
1325412509368
14121032c71b7
158988796143
hex4d51500cad

332076682413 has 96 divisors (see below), whose sum is σ = 580834775040. Its totient is φ = 178593569280.

The previous prime is 332076682409. The next prime is 332076682423. The reversal of 332076682413 is 314286670233.

332076682413 is a `hidden beast` number, since 332 + 0 + 76 + 6 + 8 + 241 + 3 = 666.

It is not a de Polignac number, because 332076682413 - 22 = 332076682409 is a prime.

It is a super-2 number, since 2×3320766824132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332076682423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125452656 + ... + 125455302.

It is an arithmetic number, because the mean of its divisors is an integer number (6050362240).

Almost surely, 2332076682413 is an apocalyptic number.

It is an amenable number.

332076682413 is a deficient number, since it is larger than the sum of its proper divisors (248758092627).

332076682413 is a wasteful number, since it uses less digits than its factorization.

332076682413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 332076682413 in words is "three hundred thirty-two billion, seventy-six million, six hundred eighty-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 311 337 399 933 1011 1197 2177 2359 2647 2799 3033 5909 6403 6531 7077 7941 17727 18529 19209 19593 21231 23823 41363 44821 50293 53181 55587 57627 104807 124089 134463 150879 166761 314421 352051 372267 403389 452637 733649 823217 892039 943263 1056153 1991333 2200947 2469651 2676117 3168459 5762519 5973999 6244273 6602841 7408953 8028351 13939331 15641123 16948741 17287557 17921997 18732819 41817993 46923369 50846223 51862671 56198457 109487861 118641187 125453979 140770107 152538669 277424129 328463583 355923561 832272387 985390749 1067770683 1941968903 2496817161 5271058451 5825906709 15813175353 17477720127 36897409157 47439526059 110692227471 332076682413