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16000001107008 = 263318113314639
BaseRepresentation
bin1110100011010100101001…
…1000011110010001000000
32002122120210120212001020220
43220311022120132101000
54044121000240411013
654010144331503040
73240650641306062
oct350651230362100
962576716761226
1016000001107008
115109620562156
121964aa7bb7a80
138c0a417b5149
143d4593129732
151cb2e4048b23
hexe8d4a61e440

16000001107008 has 112 divisors (see below), whose sum is σ = 43752823726080. Its totient is φ = 5154925017600.

The previous prime is 16000001107003. The next prime is 16000001107009. The reversal of 16000001107008 is 80070110000061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16000001107001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169753 + ... + 6484391.

It is an arithmetic number, because the mean of its divisors is an integer number (390650211840).

Almost surely, 216000001107008 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 16000001107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876411863040).

16000001107008 is an abundant number, since it is smaller than the sum of its proper divisors (27752822619072).

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

16000001107008 is a wasteful number, since it uses less digits than its factorization.

16000001107008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315496 (or 3315486 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 16000001107008 its reverse (80070110000061), we get a palindrome (96070111107069).

The spelling of 16000001107008 in words is "sixteen trillion, one million, one hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 811 992 1488 1622 1984 2433 2976 3244 4866 5952 6488 9732 12976 19464 25141 25952 38928 50282 51904 75423 77856 100564 150846 155712 201128 301692 402256 603384 804512 1206768 1609024 2413536 3314639 4827072 6629278 9943917 13258556 19887834 26517112 39775668 53034224 79551336 102753809 106068448 159102672 205507618 212136896 308261427 318205344 411015236 616522854 636410688 822030472 1233045708 1644060944 2466091416 2688172229 3288121888 4932182832 5376344458 6576243776 8064516687 9864365664 10752688916 16129033374 19728731328 21505377832 32258066748 43010755664 64516133496 83333339099 86021511328 129032266992 166666678198 172043022656 250000017297 258064533984 333333356396 500000034594 516129067968 666666712792 1000000069188 1333333425584 2000000138376 2666666851168 4000000276752 5333333702336 8000000553504 16000001107008