Search a number
-
+
27374644647372 = 22311415058138331
BaseRepresentation
bin1100011100101101001111…
…11110000101010111001100
310120220222202001102111001110
412032112213332011113030
512042001233012203442
6134115423234412020
75523516133162221
oct616264776052714
9116828661374043
1027374644647372
1187a458127aaa0
1230a1481131010
131237558205859
146a8d2300b948
15327125eb669c
hex18e5a7f855cc

27374644647372 has 48 divisors (see below), whose sum is σ = 71380448141184. Its totient is φ = 8093021328000.

The previous prime is 27374644647313. The next prime is 27374644647373.

27374644647372 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (27374644647373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529063754 + ... + 2529074577.

It is an arithmetic number, because the mean of its divisors is an integer number (1487092669608).

Almost surely, 227374644647372 is an apocalyptic number.

27374644647372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27374644647372 is an abundant number, since it is smaller than the sum of its proper divisors (44005803493812).

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

27374644647372 is a wasteful number, since it uses less digits than its factorization.

27374644647372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058138390 (or 5058138388 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 66.

The spelling of 27374644647372 in words is "twenty-seven trillion, three hundred seventy-four billion, six hundred forty-four million, six hundred forty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 5058138331 10116276662 15174414993 20232553324 30348829986 55639521641 60697659972 111279043282 166918564923 207383671571 222558086564 333837129846 414767343142 622151014713 667674259692 829534686284 1244302029426 2281220387281 2488604058852 4562440774562 6843661161843 9124881549124 13687322323686 27374644647372