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21939383029344 = 2531130529680531
BaseRepresentation
bin1001111110100001010010…
…01000011100111001100000
32212200101101022210012020120
410333100221020130321200
510333423324023414334
6114354451411040240
74423032235541664
oct477205110347140
985611338705216
1021939383029344
116a99492841660
122563bbaba0080
13c31b4b32ca21
1455bc2c3348a4
15280a6138e949
hex13f42921ce60

21939383029344 has 96 divisors (see below), whose sum is σ = 62828565287040. Its totient is φ = 6648070348800.

The previous prime is 21939383029339. The next prime is 21939383029349. The reversal of 21939383029344 is 44392038393912.

It is an interprime number because it is at equal distance from previous prime (21939383029339) and next prime (21939383029349).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21939383029349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31898359 + ... + 32578889.

It is an arithmetic number, because the mean of its divisors is an integer number (654464221740).

Almost surely, 221939383029344 is an apocalyptic number.

21939383029344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21939383029344 is an abundant number, since it is smaller than the sum of its proper divisors (40889182257696).

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

21939383029344 is a wasteful number, since it uses less digits than its factorization.

21939383029344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711084 (or 711076 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 21939383029344 in words is "twenty-one trillion, nine hundred thirty-nine billion, three hundred eighty-three million, twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 30529 61058 91587 122116 183174 244232 335819 366348 488464 671638 680531 732696 976928 1007457 1343276 1361062 1465392 2014914 2041593 2686552 2722124 2930784 4029828 4083186 5373104 5444248 7485841 8059656 8166372 10746208 10888496 14971682 16119312 16332744 21776992 22457523 29943364 32238624 32665488 44915046 59886728 65330976 89830092 119773456 179660184 239546912 359320368 718640736 20775930899 41551861798 62327792697 83103723596 124655585394 166207447192 228535239889 249311170788 332414894384 457070479778 498622341576 664829788768 685605719667 914140959556 997244683152 1371211439334 1828281919112 1994489366304 2742422878668 3656563838224 5484845757336 7313127676448 10969691514672 21939383029344