Search a number
-
+
27694353500 = 2253116178161
BaseRepresentation
bin11001110010101101…
…100100110001011100
32122111001210220222022
4121302231210301130
5423204223303000
620420030035312
72000202056252
oct316255446134
978431726868
1027694353500
1110821816760
12544a948b38
1327c47c3b28
1414aa14a5d2
15ac14de585
hex672b64c5c

27694353500 has 96 divisors (see below), whose sum is σ = 66098096064. Its totient is φ = 10053120000.

The previous prime is 27694353493. The next prime is 27694353527. The reversal of 27694353500 is 535349672.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389420 + ... + 3397580.

It is an arithmetic number, because the mean of its divisors is an integer number (688521834).

Almost surely, 227694353500 is an apocalyptic number.

27694353500 is a gapful number since it is divisible by the number (20) 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 27694353500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33049048032).

27694353500 is an abundant number, since it is smaller than the sum of its proper divisors (38403742564).

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

27694353500 is a wasteful number, since it uses less digits than its factorization.

27694353500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 27694353500 in words is "twenty-seven billion, six hundred ninety-four million, three hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 617 1100 1234 1375 2468 2750 3085 5500 6170 6787 8161 12340 13574 15425 16322 27148 30850 32644 33935 40805 61700 67870 77125 81610 89771 135740 154250 163220 169675 179542 204025 308500 339350 359084 408050 448855 678700 816100 848375 897710 1020125 1696750 1795420 2040250 2244275 3393500 4080500 4488550 5035337 8977100 10070674 11221375 20141348 22442750 25176685 44885500 50353370 55388707 100706740 110777414 125883425 221554828 251766850 276943535 503533700 553887070 629417125 1107774140 1258834250 1384717675 2517668500 2769435350 5538870700 6923588375 13847176750 27694353500