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3794228822016 = 214342859029
BaseRepresentation
bin110111001101101001101…
…010010100000000000000
3111102201120022220210120000
4313031221222110000000
5444131040034301031
612023013351320000
7541060345566243
oct67155152240000
914381508823500
103794228822016
11123313a288a96
1251341b680000
13216a42c49859
14d18da9b525a
1568a6b04c3e6
hex37369a94000

3794228822016 has 150 divisors (see below), whose sum is σ = 11335502157210. Its totient is φ = 1264742498304.

The previous prime is 3794228821997. The next prime is 3794228822099. The reversal of 3794228822016 is 6102288224973.

3794228822016 is a `hidden beast` number, since 3 + 7 + 9 + 422 + 8 + 8 + 2 + 201 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3300413423616 + 493815398400 = 1816704^2 + 702720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 102411 + ... + 2756618.

Almost surely, 23794228822016 is an apocalyptic number.

3794228822016 is a gapful number since it is divisible by the number (36) 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 3794228822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667751078605).

3794228822016 is an abundant number, since it is smaller than the sum of its proper divisors (7541273335194).

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

3794228822016 is an frugal number, since it uses more digits than its factorization.

3794228822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859069 (or 2859034 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3794228822016 in words is "three trillion, seven hundred ninety-four billion, two hundred twenty-eight million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 36864 41472 49152 55296 73728 82944 110592 147456 165888 221184 331776 442368 663552 1327104 2859029 5718058 8577087 11436116 17154174 22872232 25731261 34308348 45744464 51462522 68616696 77193783 91488928 102925044 137233392 154387566 182977856 205850088 231581349 274466784 308775132 365955712 411700176 463162698 548933568 617550264 731911424 823400352 926325396 1097867136 1235100528 1463822848 1646800704 1852650792 2195734272 2470201056 2927645696 3293601408 3705301584 4391468544 4940402112 5855291392 6587202816 7410603168 8782937088 9880804224 11710582784 13174405632 14821206336 17565874176 19761608448 23421165568 26348811264 29642412672 35131748352 39523216896 46842331136 52697622528 59284825344 70263496704 79046433792 105395245056 118569650688 140526993408 158092867584 210790490112 237139301376 316185735168 421580980224 474278602752 632371470336 948557205504 1264742940672 1897114411008 3794228822016