Search a number
-
+
194273457093856 = 2571915697980311
BaseRepresentation
bin101100001011000011010000…
…011001100011110011100000
3221110212100202020212012021101
4230023003100121203303200
5200430434020004000411
61525103554421004144
755630536241615660
oct5413032031436340
9843770666765241
10194273457093856
11569a0a01915a28
12199575b7853654
138452ba698b97a
1435d8c57b1c1a0
15176d7724208c1
hexb0b0d0663ce0

194273457093856 has 96 divisors (see below), whose sum is σ = 440176134021120. Its totient is φ = 82678565299200.

The previous prime is 194273457093841. The next prime is 194273457093871. The reversal of 194273457093856 is 658390754372491.

It is an interprime number because it is at equal distance from previous prime (194273457093841) and next prime (194273457093871).

It is a super-2 number, since 2×1942734570938562 (a number of 29 digits) contains 22 as substring.

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, 20353941 + ... + 28334251.

It is an arithmetic number, because the mean of its divisors is an integer number (4585168062720).

It is a 1-persistent number, because it is pandigital, but 2⋅194273457093856 = 388546914187712 is not.

Almost surely, 2194273457093856 is an apocalyptic number.

194273457093856 is a gapful number since it is divisible by the number (16) 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 194273457093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220088067010560).

194273457093856 is an abundant number, since it is smaller than the sum of its proper divisors (245902676927264).

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

194273457093856 is a wasteful number, since it uses less digits than its factorization.

194273457093856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981088 (or 7981080 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 73.

The spelling of 194273457093856 in words is "one hundred ninety-four trillion, two hundred seventy-three billion, four hundred fifty-seven million, ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 569 764 1138 1337 1528 2276 2674 3056 3983 4552 5348 6112 7966 9104 10696 15932 18208 21392 31864 42784 63728 108679 127456 217358 434716 760753 869432 1521506 1738864 3043012 3477728 6086024 7980311 12172048 15960622 24344096 31921244 55862177 63842488 111724354 127684976 223448708 255369952 446897416 893794832 1524239401 1787589664 3048478802 4540796959 6096957604 9081593918 10669675807 12193915208 18163187836 21339351614 24387830416 31785578713 36326375672 42678703228 48775660832 63571157426 72652751344 85357406456 127142314852 145305502688 170714812912 254284629704 341429625824 508569259408 867292219169 1017138518816 1734584438338 3469168876676 6071045534183 6938337753352 12142091068366 13876675506704 24284182136732 27753351013408 48568364273464 97136728546928 194273457093856