Search a number
-
+
680675911632 = 243231199766237
BaseRepresentation
bin10011110011110110111…
…00100010011111010000
32102001221110210222221100
421321323130202133100
542123011013133012
61240410451024400
7100114532533323
oct11717334423720
92361843728840
10680675911632
11242744897032
12abb04b9b100
134c258b19422
1424d32ac67ba
1512a8c8518dc
hex9e7b7227d0

680675911632 has 120 divisors (see below), whose sum is σ = 1976281049600. Its totient is φ = 218469208320.

The previous prime is 680675911627. The next prime is 680675911633. The reversal of 680675911632 is 236119576086.

680675911632 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 7 + 591 + 16 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680675911633) 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, 505218 + ... + 1271454.

Almost surely, 2680675911632 is an apocalyptic number.

680675911632 is a gapful number since it is divisible by the number (62) 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 680675911632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988140524800).

680675911632 is an abundant number, since it is smaller than the sum of its proper divisors (1295605137968).

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

680675911632 is a wasteful number, since it uses less digits than its factorization.

680675911632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766481 (or 766472 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 680675911632 in words is "six hundred eighty billion, six hundred seventy-five million, nine hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 199 248 279 372 398 496 558 597 744 796 1116 1194 1488 1592 1791 2232 2388 3184 3582 4464 4776 6169 7164 9552 12338 14328 18507 24676 28656 37014 49352 55521 74028 98704 111042 148056 222084 296112 444168 766237 888336 1532474 2298711 3064948 4597422 6129896 6896133 9194844 12259792 13792266 18389688 23753347 27584532 36779376 47506694 55169064 71260041 95013388 110338128 142520082 152481163 190026776 213780123 285040164 304962326 380053552 427560246 457443489 570080328 609924652 855120492 914886978 1140160656 1219849304 1372330467 1710240984 1829773956 2439698608 2744660934 3420481968 3659547912 4726916053 5489321868 7319095824 9453832106 10978643736 14180748159 18907664212 21957287472 28361496318 37815328424 42542244477 56722992636 75630656848 85084488954 113445985272 170168977908 226891970544 340337955816 680675911632