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5788981742112 = 2532101911218459
BaseRepresentation
bin101010000111101101000…
…1100110100101000100000
3202111102101002110101001100
41110033122030310220200
51224321313311221422
620151231013234400
71135145235626262
oct124173214645040
922442332411040
105788981742112
111932103302aa8
12795b3a332a00
1332cb8b3c2aca
1416028c647b32
15a08b85697ac
hex543da334a20

5788981742112 has 144 divisors (see below), whose sum is σ = 16643736869760. Its totient is φ = 1908449088000.

The previous prime is 5788981742101. The next prime is 5788981742113. The reversal of 5788981742112 is 2112471898875.

5788981742112 is a `hidden beast` number, since 57 + 8 + 89 + 81 + 7 + 421 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57889817421122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5788981742112.

It is not an unprimeable number, because it can be changed into a prime (5788981742113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26389939 + ... + 26608397.

It is an arithmetic number, because the mean of its divisors is an integer number (115581506040).

Almost surely, 25788981742112 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 5788981742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321868434880).

5788981742112 is an abundant number, since it is smaller than the sum of its proper divisors (10854755127648).

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

5788981742112 is a wasteful number, since it uses less digits than its factorization.

5788981742112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219487 (or 219476 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 63.

The spelling of 5788981742112 in words is "five trillion, seven hundred eighty-eight billion, nine hundred eighty-one million, seven hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 911 1212 1616 1818 1822 2424 2733 3232 3636 3644 4848 5466 7272 7288 8199 9696 10932 14544 14576 16398 21864 29088 29152 32796 43728 65592 87456 92011 131184 184022 218459 262368 276033 368044 436918 552066 655377 736088 828099 873836 1104132 1310754 1472176 1656198 1747672 1966131 2208264 2621508 2944352 3312396 3495344 3932262 4416528 5243016 6624792 6990688 7864524 8833056 10486032 13249584 15729048 20972064 22064359 26499168 31458096 44128718 62916192 66193077 88257436 132386154 176514872 198579231 199016149 264772308 353029744 397158462 398032298 529544616 597048447 706059488 794316924 796064596 1059089232 1194096894 1588633848 1592129192 1791145341 2118178464 2388193788 3177267696 3184258384 3582290682 4776387576 6354535392 6368516768 7164581364 9552775152 14329162728 19105550304 20100631049 28658325456 40201262098 57316650912 60301893147 80402524196 120603786294 160805048392 180905679441 241207572588 321610096784 361811358882 482415145176 643220193568 723622717764 964830290352 1447245435528 1929660580704 2894490871056 5788981742112