Search a number
-
+
1696845097008 = 243367357116417
BaseRepresentation
bin11000101100010011110…
…110010110100000110000
320000012212001102010221000
4120230103312112200300
5210300114321101013
63335304143202000
7233410255226445
oct30542366264060
96005761363830
101696845097008
115a469a903246
12234a39ba6300
13c401cc26779
145c1b07419cc
152e21387c973
hex18b13d96830

1696845097008 has 160 divisors (see below), whose sum is σ = 4944954494720. Its totient is φ = 556983060480.

The previous prime is 1696845096979. The next prime is 1696845097153. The reversal of 1696845097008 is 8007905486961.

1696845097008 is a `hidden beast` number, since 1 + 6 + 96 + 8 + 450 + 97 + 0 + 0 + 8 = 666.

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, 103350816 + ... + 103367232.

It is an arithmetic number, because the mean of its divisors is an integer number (30905965592).

Almost surely, 21696845097008 is an apocalyptic number.

1696845097008 is a gapful number since it is divisible by the number (18) 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 1696845097008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472477247360).

1696845097008 is an abundant number, since it is smaller than the sum of its proper divisors (3248109397712).

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

1696845097008 is a wasteful number, since it uses less digits than its factorization.

1696845097008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20060 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1696845097008 in words is "one trillion, six hundred ninety-six billion, eight hundred forty-five million, ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3571 3618 4824 7142 7236 9648 10713 14284 14472 16417 21426 28568 28944 32139 32834 42852 49251 57136 64278 65668 85704 96417 98502 128556 131336 147753 171408 192834 197004 239257 257112 262672 295506 385668 394008 443259 478514 514224 591012 717771 771336 788016 886518 957028 1099939 1182024 1435542 1542672 1773036 1914056 2153313 2199878 2364048 2871084 3299817 3546072 3828112 4306626 4399756 5742168 6459939 6599634 7092144 8613252 8799512 9899451 11484336 12919878 13199268 17226504 17599024 19798902 25839756 26398536 29698353 34453008 39597804 51679512 52797072 58625107 59396706 79195608 103359024 117250214 118793412 158391216 175875321 234500428 237586824 351750642 469000856 475173648 527625963 703501284 938001712 1055251926 1407002568 1582877889 2110503852 2814005136 3165755778 3927882169 4221007704 6331511556 7855764338 8442015408 11783646507 12663023112 15711528676 23567293014 25326046224 31423057352 35350939521 47134586028 62846114704 70701879042 94269172056 106052818563 141403758084 188538344112 212105637126 282807516168 424211274252 565615032336 848422548504 1696845097008