Search a number
-
+
5781978072 = 2333132158393
BaseRepresentation
bin1010110001010000…
…11111101111011000
3112220221210220211000
411120220133233120
543320141244242
62353423505000
7263166000633
oct53050375730
915827726730
105781978072
1124a7859782
121154458160
13711b71800
143cbc98c1a
1523c91da4c
hex158a1fbd8

5781978072 has 96 divisors (see below), whose sum is σ = 17391661200. Its totient is φ = 1779058944.

The previous prime is 5781978071. The next prime is 5781978077. The reversal of 5781978072 is 2708791875.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5781978071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42693 + ... + 115700.

Almost surely, 25781978072 is an apocalyptic number.

5781978072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5781978072 is an abundant number, since it is smaller than the sum of its proper divisors (11609683128).

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

5781978072 is a wasteful number, since it uses less digits than its factorization.

5781978072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158434 (or 158411 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The square root of 5781978072 is about 76039.3192499775. The cubic root of 5781978072 is about 1794.8389271026.

The spelling of 5781978072 in words is "five billion, seven hundred eighty-one million, nine hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 36504 158393 316786 475179 633572 950358 1267144 1425537 1900716 2059109 2851074 3801432 4118218 4276611 5702148 6177327 8236436 8553222 11404296 12354654 16472872 17106444 18531981 24709308 26768417 34212888 37063962 49418616 53536834 55595943 74127924 80305251 107073668 111191886 148255848 160610502 214147336 222383772 240915753 321221004 444767544 481831506 642442008 722747259 963663012 1445494518 1927326024 2890989036 5781978072