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2116481225616 = 2432149439224699
BaseRepresentation
bin11110110011001000000…
…111001001001110010000
321111100000012211012110100
4132303020013021032100
5234134023143204431
64300144213532400
7305624243405022
oct36631007111620
97440005735410
102116481225616
1174665a5256aa
122a2231344100
1312477773a804
147461c74c012
153a0c40b84e6
hex1ecc81c9390

2116481225616 has 120 divisors (see below), whose sum is σ = 5976570600000. Its totient is φ = 699159511296.

The previous prime is 2116481225611. The next prime is 2116481225629. The reversal of 2116481225616 is 6165221846112.

2116481225616 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 4 + 8 + 1 + 2 + 25 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (2116481225611) 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, 9306835 + ... + 9531533.

It is an arithmetic number, because the mean of its divisors is an integer number (49804755000).

Almost surely, 22116481225616 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 2116481225616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988285300000).

2116481225616 is an abundant number, since it is smaller than the sum of its proper divisors (3860089374384).

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

2116481225616 is a wasteful number, since it uses less digits than its factorization.

2116481225616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225301 (or 225292 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 2116481225616 in words is "two trillion, one hundred sixteen billion, four hundred eighty-one million, two hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 439 447 596 878 894 1192 1317 1341 1756 1788 2384 2634 2682 3512 3576 3951 5268 5364 7024 7152 7902 10536 10728 15804 21072 21456 31608 63216 65411 130822 196233 224699 261644 392466 449398 523288 588699 674097 784932 898796 1046576 1177398 1348194 1569864 1797592 2022291 2354796 2696388 3139728 3595184 4044582 4709592 5392776 8089164 9419184 10785552 16178328 32356656 33480151 66960302 98642861 100440453 133920604 197285722 200880906 267841208 295928583 301321359 394571444 401761812 535682416 591857166 602642718 789142888 803523624 887785749 1183714332 1205285436 1578285776 1607047248 1775571498 2367428664 2410570872 3551142996 4734857328 4821141744 7102285992 14204571984 14697786289 29395572578 44093358867 58791145156 88186717734 117582290312 132280076601 176373435468 235164580624 264560153202 352746870936 529120306404 705493741872 1058240612808 2116481225616