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13855497984 = 283319105503
BaseRepresentation
bin11001110011101101…
…00001111100000000
31022202121120020002000
430321312201330000
5211334001413414
610210511224000
71000231534566
oct147166417400
938677506060
1013855497984
115970081789
122828218000
1313ca6b6623
1495621da36
155615dcb09
hex339da1f00

13855497984 has 144 divisors (see below), whose sum is σ = 43130035200. Its totient is φ = 4375378944.

The previous prime is 13855497979. The next prime is 13855498001. The reversal of 13855497984 is 48979455831.

13855497984 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 549 + 7 + 9 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78577 + ... + 184079.

Almost surely, 213855497984 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 13855497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565017600).

13855497984 is an abundant number, since it is smaller than the sum of its proper divisors (29274537216).

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

13855497984 is a wasteful number, since it uses less digits than its factorization.

13855497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105547 (or 105527 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 13855497984 in words is "thirteen billion, eight hundred fifty-five million, four hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 105503 131328 211006 316509 422012 633018 844024 949527 1266036 1688048 1899054 2004557 2532072 2848581 3376096 3798108 4009114 5064144 5697162 6013671 6752192 7596216 8018228 10128288 11394324 12027342 13504384 15192432 16036456 18041013 20256576 22788648 24054684 27008768 30384864 32072912 36082026 40513152 45577296 48109368 54123039 60769728 64145824 72164052 81026304 91154592 96218736 108246078 121539456 128291648 144328104 182309184 192437472 216492156 243078912 256583296 288656208 364618368 384874944 432984312 513166592 577312416 729236736 769749888 865968624 1154624832 1539499776 1731937248 2309249664 3463874496 4618499328 6927748992 13855497984