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16516916676 = 223213192380761
BaseRepresentation
bin11110110000111110…
…00010010111000100
31120122002111022011200
433120133002113010
5232311312313201
611330542502500
71123206322011
oct173037022704
946562438150
1016516916676
117006406a67
12324b594a30
131732bb21a0
14b2988c708
1566a0a1386
hex3d87c25c4

16516916676 has 144 divisors (see below), whose sum is σ = 49387578240. Its totient is φ = 4605258240.

The previous prime is 16516916609. The next prime is 16516916677. The reversal of 16516916676 is 67661961561.

It is a happy number.

16516916676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16516916677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164136 + ... + 244896.

Almost surely, 216516916676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16516916676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24693789120).

16516916676 is an abundant number, since it is smaller than the sum of its proper divisors (32870661564).

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

16516916676 is a wasteful number, since it uses less digits than its factorization.

16516916676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80826 (or 80821 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 16516916676 in words is "sixteen billion, five hundred sixteen million, nine hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 69 76 78 92 114 117 138 156 171 207 228 234 247 276 299 342 414 437 468 494 598 684 741 828 874 897 988 1196 1311 1482 1748 1794 2223 2622 2691 2964 3588 3933 4446 5244 5382 5681 7866 8892 10764 11362 15732 17043 22724 34086 51129 68172 80761 102258 161522 204516 242283 323044 484566 726849 969132 1049893 1453698 1534459 1857503 2099786 2907396 3068918 3149679 3715006 4199572 4603377 5572509 6137836 6299358 7430012 9206754 9449037 11145018 12598716 13810131 16717527 18413508 18898074 19947967 22290036 24147539 27620262 33435054 35292557 37796148 39895934 48295078 55240524 59843901 66870108 70585114 72442617 79791868 96590156 105877671 119687802 141170228 144885234 179531703 211755342 217327851 239375604 289770468 317633013 359063406 423510684 434655702 458803241 635266026 718126812 869311404 917606482 1270532052 1376409723 1835212964 2752819446 4129229169 5505638892 8258458338 16516916676