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19131795036 = 223217122325561
BaseRepresentation
bin10001110100010110…
…000000011001011100
31211101022211212221100
4101310112000121130
5303140214420121
612442232433100
71245050401044
oct216426003134
954338755840
1019131795036
118128443862
12385b248790
131a5b8642a3
14cd6c84724
1576e920026
hex47458065c

19131795036 has 72 divisors (see below), whose sum is σ = 51249560544. Its totient is φ = 5996989440.

The previous prime is 19131794977. The next prime is 19131795037. The reversal of 19131795036 is 63059713191.

It is a happy number.

19131795036 is a `hidden beast` number, since 1 + 9 + 131 + 7 + 9 + 503 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19131794982 and 19131795000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19131795037) 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, 735696 + ... + 761256.

It is an arithmetic number, because the mean of its divisors is an integer number (711799452).

Almost surely, 219131795036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19131795036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25624780272).

19131795036 is an abundant number, since it is smaller than the sum of its proper divisors (32117765508).

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

19131795036 is a wasteful number, since it uses less digits than its factorization.

19131795036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26811 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 19131795036 in words is "nineteen billion, one hundred thirty-one million, seven hundred ninety-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1223 2446 3669 4892 7338 11007 14676 20791 22014 25561 41582 44028 51122 62373 76683 83164 102244 124746 153366 187119 230049 249492 306732 374238 434537 460098 748476 869074 920196 1303611 1738148 2607222 3910833 5214444 7821666 15643332 31261103 62522206 93783309 125044412 187566618 281349927 375133236 531438751 562699854 1062877502 1125399708 1594316253 2125755004 3188632506 4782948759 6377265012 9565897518 19131795036