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2578238809068 = 2231379523400009
BaseRepresentation
bin100101100001001011000…
…000100010001111101100
3100010110212220011212102210
4211201023000202033230
5314220213113342233
65252232045250420
7354162106166526
oct45411300421754
910113786155383
102578238809068
1190447465856a
1235781ab63a10
13159185994630
148cb04998a16
15470ec690163
hex2584b0223ec

2578238809068 has 96 divisors (see below), whose sum is σ = 6573220326400. Its totient is φ = 781762834944.

The previous prime is 2578238809067. The next prime is 2578238809129. The reversal of 2578238809068 is 8609088328752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2578238809067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6245448 + ... + 6645456.

Almost surely, 22578238809068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578238809068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286610163200).

2578238809068 is an abundant number, since it is smaller than the sum of its proper divisors (3994981517332).

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

2578238809068 is a wasteful number, since it uses less digits than its factorization.

2578238809068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400631 (or 400629 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 2578238809068 in words is "two trillion, five hundred seventy-eight billion, two hundred thirty-eight million, eight hundred nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 316 474 523 948 1027 1046 1569 2054 2092 3081 3138 4108 6162 6276 6799 12324 13598 20397 27196 40794 41317 81588 82634 123951 165268 247902 400009 495804 537121 800018 1074242 1200027 1600036 1611363 2148484 2400054 3222726 4800108 5200117 6445452 10400234 15600351 20800468 31200702 31600711 62401404 63201422 94802133 126402844 189604266 209204707 379208532 410809243 418409414 627614121 821618486 836818828 1232427729 1255228242 1643236972 2464855458 2510456484 2719661191 4929710916 5439322382 8158983573 10878644764 16317967146 16527171853 32635934292 33054343706 49581515559 66108687412 99163031118 198326062236 214853234089 429706468178 644559702267 859412936356 1289119404534 2578238809068