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16504254065664 = 210322953606443
BaseRepresentation
bin1111000000101011001000…
…1100110110110000000000
32011102210100211202102222200
43300022302030312300000
54130401203020100124
655033541042433200
73322251541606011
oct360126214666000
964383324672880
1016504254065664
115293462178412
121a26775362800
13929462a918b1
14410b4b10d008
151d94a821cbc9
hexf02b2336c00

16504254065664 has 132 divisors (see below), whose sum is σ = 47671892112936. Its totient is φ = 5499545960448.

The previous prime is 16504254065647. The next prime is 16504254065683. The reversal of 16504254065664 is 46656045240561.

16504254065664 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 42 + 540 + 6 + 56 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16504254065664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26911627 + ... + 27518069.

Almost surely, 216504254065664 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 16504254065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23835946056468).

16504254065664 is an abundant number, since it is smaller than the sum of its proper divisors (31167638047272).

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

16504254065664 is a wasteful number, since it uses less digits than its factorization.

16504254065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609422 (or 609401 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 16504254065664 in words is "sixteen trillion, five hundred four billion, two hundred fifty-four million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2953 3072 4608 5906 8859 9216 11812 17718 23624 26577 35436 47248 53154 70872 94496 106308 141744 188992 212616 283488 377984 425232 566976 606443 755968 850464 1133952 1212886 1511936 1700928 1819329 2267904 2425772 3023872 3401856 3638658 4535808 4851544 5457987 6803712 7277316 9071616 9703088 10915974 13607424 14554632 19406176 21831948 27214848 29109264 38812352 43663896 58218528 77624704 87327792 116437056 155249408 174655584 232874112 310498816 349311168 465748224 620997632 698622336 931496448 1397244672 1790826179 1862992896 2794489344 3581652358 5372478537 5588978688 7163304716 10744957074 14326609432 16117435611 21489914148 28653218864 32234871222 42979828296 57306437728 64469742444 85959656592 114612875456 128939484888 171919313184 229225750912 257878969776 343838626368 458451501824 515757939552 687677252736 916903003648 1031515879104 1375354505472 1833806007296 2063031758208 2750709010944 4126063516416 5501418021888 8252127032832 16504254065664