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63780749406 = 23311374367489
BaseRepresentation
bin111011011001101000…
…010000000001011110
320002121222201202221000
4323121220100001132
52021110332440111
645144522451130
74415355265503
oct733150200136
9202558652830
1063780749406
112505a630050
1210440063aa6
136025b1430a
143130a534aa
1519d4619c56
hexed9a1005e

63780749406 has 128 divisors (see below), whose sum is σ = 162494323200. Its totient is φ = 18367534080.

The previous prime is 63780749341. The next prime is 63780749407. The reversal of 63780749406 is 60494708736.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63780749407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911310 + ... + 978798.

It is an arithmetic number, because the mean of its divisors is an integer number (1269486900).

Almost surely, 263780749406 is an apocalyptic number.

63780749406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63780749406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81247161600).

63780749406 is an abundant number, since it is smaller than the sum of its proper divisors (98713573794).

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

63780749406 is a wasteful number, since it uses less digits than its factorization.

63780749406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67591 (or 67585 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 63780749406 in words is "sixty-three billion, seven hundred eighty million, seven hundred forty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 43 54 66 74 86 99 111 129 198 222 258 297 333 387 407 473 594 666 774 814 946 999 1161 1221 1419 1591 1998 2322 2442 2838 3182 3663 4257 4773 7326 8514 9546 10989 12771 14319 17501 21978 25542 28638 35002 42957 52503 67489 85914 105006 134978 157509 202467 315018 404934 472527 607401 742379 945054 1214802 1484758 1822203 2227137 2497093 2902027 3644406 4454274 4994186 5804054 6681411 7491279 8706081 13362822 14982558 17412162 20044233 22473837 26118243 27468023 31922297 40088466 44947674 52236486 54936046 63844594 67421511 78354729 82404069 95766891 107374999 134843022 156709458 164808138 191533782 214749998 247212207 287300673 322124997 494424414 574601346 644249994 741636621 861902019 966374991 1181124989 1483273242 1723804038 1932749982 2362249978 2899124973 3543374967 5798249946 7086749934 10630124901 21260249802 31890374703 63780749406