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20542404476706 = 2373179303765761
BaseRepresentation
bin1001010101110111001101…
…01110001011111100100010
32200201211112111011211100120
410222323212232023330202
510143031321021223311
6111405014512301110
74220065635012240
oct452734656137442
980654474154316
1020542404476706
1165aaa91873502
122379309841796
13b601a96a9538
14510387115790
1525954d60d706
hex12aee6b8bf22

20542404476706 has 128 divisors (see below), whose sum is σ = 49099150786560. Its totient is φ = 5606097868800.

The previous prime is 20542404476687. The next prime is 20542404476749. The reversal of 20542404476706 is 60767440424502.

It is a super-2 number, since 2×205424044767062 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312346866 + ... + 312412626.

It is an arithmetic number, because the mean of its divisors is an integer number (383587115520).

Almost surely, 220542404476706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542404476706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24549575393280).

20542404476706 is an abundant number, since it is smaller than the sum of its proper divisors (28556746309854).

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

20542404476706 is a wasteful number, since it uses less digits than its factorization.

20542404476706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68920.

The product of its (nonzero) digits is 9031680, while the sum is 51.

The spelling of 20542404476706 in words is "twenty trillion, five hundred forty-two billion, four hundred four million, four hundred seventy-six thousand, seven hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 62 79 93 158 186 217 237 434 474 553 651 1106 1302 1659 2449 3037 3318 4898 6074 7347 9111 14694 17143 18222 21259 34286 42518 51429 63777 65761 94147 102858 127554 131522 188294 197283 239923 282441 394566 460327 479846 564882 659029 719769 920654 1318058 1380981 1439538 1679461 1977087 2038591 2761962 3358922 3954174 4077182 5038383 5195119 6115773 7437613 10076766 10390238 12231546 14270137 14875226 15585357 22312839 28540274 31170714 36365833 42810411 44625678 52063291 72731666 85620822 104126582 109097499 156189873 161048689 199716157 218194998 312379746 322097378 399432314 483146067 599148471 966292134 1127340823 1198296942 1398013099 2254681646 2796026198 3382022469 4194039297 6191200867 6764044938 8388078594 12382401734 15777576403 18573602601 31555152806 37147205202 43338406069 47332729209 86676812138 94665458418 110443034821 130015218207 220886069642 260030436414 331329104463 489104868493 662658208926 978209736986 1467314605479 2934629210958 3423734079451 6847468158902 10271202238353 20542404476706