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2461114426056 = 23311134289167197
BaseRepresentation
bin100011110100000101110…
…110011110001011001000
322201021120021222201212020
4203310011312132023020
5310310330243113211
65122341555244440
7342544465312236
oct43640566361310
98637507881766
102461114426056
11869830a29010
12338b922a9720
1314b10b4918a0
148719351b956
1544044dae306
hex23d05d9e2c8

2461114426056 has 128 divisors (see below), whose sum is σ = 7230176553600. Its totient is φ = 688258990080.

The previous prime is 2461114425997. The next prime is 2461114426061. The reversal of 2461114426056 is 6506244111642.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2461114425999 and 2461114426017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14636250 + ... + 14803446.

It is an arithmetic number, because the mean of its divisors is an integer number (56485754325).

Almost surely, 22461114426056 is an apocalyptic number.

2461114426056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461114426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615088276800).

2461114426056 is an abundant number, since it is smaller than the sum of its proper divisors (4769062127544).

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

2461114426056 is a wasteful number, since it uses less digits than its factorization.

2461114426056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171519 (or 171515 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 2461114426056 its reverse (6506244111642), we get a palindrome (8967358537698).

The spelling of 2461114426056 in words is "two trillion, four hundred sixty-one billion, one hundred fourteen million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 4289 8578 12867 17156 25734 34312 47179 51468 55757 94358 102936 111514 141537 167197 167271 188716 223028 283074 334394 334542 377432 446056 501591 566148 613327 668788 669084 1003182 1132296 1226654 1337576 1338168 1839167 1839981 2006364 2173561 2453308 3678334 3679962 4012728 4347122 4906616 5517501 6520683 7356668 7359924 8694244 11035002 13041366 14713336 14719848 17388488 22070004 23909171 26082732 44140008 47818342 52165464 71727513 95636684 143455026 191273368 286910052 573820104 717107933 1434215866 2151323799 2868431732 4302647598 5736863464 7888187263 8605295196 9322403129 15776374526 17210590392 18644806258 23664561789 27967209387 31552749052 37289612516 47329123578 55934418774 63105498104 74579225032 94658247156 102546434419 111868837548 189316494312 205092868838 223737675096 307639303257 410185737676 615278606514 820371475352 1230557213028 2461114426056