Search a number
-
+
48967766776984 = 23116171453620693
BaseRepresentation
bin10110010001001001100100…
…10110000001110010011000
320102101021100212020110020011
423020210302112001302120
522404241441243330414
6252051252001011304
713212542623663006
oct1310446226016230
9212337325213204
1048967766776984
111466a127838710
1255aa346023b34
1321428434caa13
14c140a430ba76
1559db6d6dddc4
hex2c8932581c98

48967766776984 has 64 divisors (see below), whose sum is σ = 100392884814240. Its totient is φ = 22206671477760.

The previous prime is 48967766776963. The next prime is 48967766776997.

48967766776984 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48967766776892 and 48967766776901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78581742 + ... + 79202434.

Almost surely, 248967766776984 is an apocalyptic number.

48967766776984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48967766776984 is an abundant number, since it is smaller than the sum of its proper divisors (51425118037256).

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

48967766776984 is a wasteful number, since it uses less digits than its factorization.

48967766776984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622780 (or 622776 counting only the distinct ones).

The product of its digits is 258096513024, while the sum is 94.

The spelling of 48967766776984 in words is "forty-eight trillion, nine hundred sixty-seven billion, seven hundred sixty-six million, seven hundred seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 617 1234 1453 2468 2906 4936 5812 6787 11624 13574 15983 27148 31966 54296 63932 127864 620693 896501 1241386 1793002 2482772 3586004 4965544 6827623 7172008 9861511 13655246 19723022 27310492 39446044 54620984 78892088 382967581 765935162 901866929 1531870324 1803733858 3063740648 3607467716 4212643391 7214935432 8425286782 9920536219 16850573564 19841072438 33701147128 39682144876 79364289752 556451895193 1112903790386 2225807580772 4451615161544 6120970847123 12241941694246 24483883388492 48967766776984