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63493000240 = 2456732573637
BaseRepresentation
bin111011001000011110…
…100100110000110000
320001212221021121021111
4323020132210300300
52020013202001430
645100203203104
74405262411605
oct731036446060
9201787247244
1063493000240
1124a2216391a
121037b816494
135cab315737
14310474c6ac
1519b922ac2a
hexec87a4c30

63493000240 has 80 divisors (see below), whose sum is σ = 149911735392. Its totient is φ = 25003579392.

The previous prime is 63493000237. The next prime is 63493000247. The reversal of 63493000240 is 4200039436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×634930002402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63493000247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17455702 + ... + 17459338.

Almost surely, 263493000240 is an apocalyptic number.

63493000240 is the 145480-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63493000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74955867696).

63493000240 is an abundant number, since it is smaller than the sum of its proper divisors (86418735152).

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

63493000240 is a wasteful number, since it uses less digits than its factorization.

63493000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 63493000240 its reverse (4200039436), we get a palindrome (67693039676).

The spelling of 63493000240 in words is "sixty-three billion, four hundred ninety-three million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 3257 3637 5360 6514 7274 13028 14548 16285 18185 26056 29096 32570 36370 52112 58192 65140 72740 130280 145480 218219 243679 260560 290960 436438 487358 872876 974716 1091095 1218395 1745752 1949432 2182190 2436790 3491504 3898864 4364380 4873580 8728760 9747160 11845709 17457520 19494320 23691418 47382836 59228545 94765672 118457090 189531344 236914180 473828360 793662503 947656720 1587325006 3174650012 3968312515 6349300024 7936625030 12698600048 15873250060 31746500120 63493000240