Search a number
-
+
2743367714072 = 231723138276701
BaseRepresentation
bin100111111010111101011…
…101010100010100011000
3100201021010000100101102022
4213322331131110110120
5324421404113322242
65500141414554012
7402126131550536
oct47727535242430
910637100311368
102743367714072
11968501611997
12383824368908
1316b9106b408b
1496acb727156
154b5645480d2
hex27ebd754518

2743367714072 has 48 divisors (see below), whose sum is σ = 5640454806720. Its totient is φ = 1249351488000.

The previous prime is 2743367714071. The next prime is 2743367714081. The reversal of 2743367714072 is 2704177633472.

It is a happy number.

It is a super-2 number, since 2×27433677140722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743367714071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19066679 + ... + 19210022.

It is an arithmetic number, because the mean of its divisors is an integer number (117509475140).

Almost surely, 22743367714072 is an apocalyptic number.

It is an amenable number.

2743367714072 is an abundant number, since it is smaller than the sum of its proper divisors (2897087092648).

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

2743367714072 is a wasteful number, since it uses less digits than its factorization.

2743367714072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38276772 (or 38276751 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 53.

The spelling of 2743367714072 in words is "two trillion, seven hundred forty-three billion, three hundred sixty-seven million, seven hundred fourteen thousand, seventy-two".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 289 527 578 1054 1156 2108 2312 4216 8959 17918 35836 71672 38276701 76553402 153106804 306213608 650703917 1186577731 1301407834 2373155462 2602815668 4746310924 5205631336 9492621848 11061966589 20171821427 22123933178 40343642854 44247866356 80687285708 88495732712 161374571416 342920964259 685841928518 1371683857036 2743367714072