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68032000476 = 2232111973123863
BaseRepresentation
bin111111010111000001…
…011111000111011100
320111121021012201001100
4333113001133013130
52103312143003401
651130425513100
74625616314466
oct772701370734
9214537181040
1068032000476
1126941321990
1211227942790
1365527c59ab
1434154cb136
151b8296eb86
hexfd705f1dc

68032000476 has 144 divisors (see below), whose sum is σ = 200184042240. Its totient is φ = 19263018240.

The previous prime is 68032000471. The next prime is 68032000481. The reversal of 68032000476 is 67400023086.

It is an interprime number because it is at equal distance from previous prime (68032000471) and next prime (68032000481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68032000476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68032000471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487321 + ... + 611183.

It is an arithmetic number, because the mean of its divisors is an integer number (1390166960).

Almost surely, 268032000476 is an apocalyptic number.

68032000476 is a gapful number since it is divisible by the number (66) 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 68032000476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100092021120).

68032000476 is an abundant number, since it is smaller than the sum of its proper divisors (132152041764).

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

68032000476 is a wasteful number, since it uses less digits than its factorization.

68032000476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123976 (or 123971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 68032000476 in words is "sixty-eight billion, thirty-two million, four hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 73 76 99 114 132 146 171 198 209 219 228 292 342 396 418 438 627 657 684 803 836 876 1254 1314 1387 1606 1881 2409 2508 2628 2774 3212 3762 4161 4818 5548 7227 7524 8322 9636 12483 14454 15257 16644 24966 28908 30514 45771 49932 61028 91542 123863 137313 183084 247726 274626 371589 495452 549252 743178 1114767 1362493 1486356 2229534 2353397 2724986 4087479 4459068 4706794 5449972 7060191 8174958 9041999 9413588 12262437 14120382 16349916 18083998 21180573 24524874 25887367 27125997 28240764 36167996 42361146 49049748 51774734 54251994 77662101 81377991 84722292 99461989 103549468 108503988 155324202 162755982 171797981 198923978 232986303 298385967 310648404 325511964 343595962 397847956 465972606 515393943 596771934 687191924 895157901 931945212 1030787886 1193543868 1546181829 1790315802 1889777791 2061575772 3092363658 3580631604 3779555582 5669333373 6184727316 7559111164 11338666746 17008000119 22677333492 34016000238 68032000476