Search a number
-
+
14770376016 = 24311171978353
BaseRepresentation
bin11011100000110001…
…00000110101010000
31102010101001211210120
431300120200311100
5220222204013031
610441352230240
71032011060514
oct156030406520
942111054716
1014770376016
11629a546130
122a4269b380
1315150bbc86
14a01930144
155b6aa7a96
hex370620d50

14770376016 has 160 divisors (see below), whose sum is σ = 44303200128. Its totient is φ = 4190699520.

The previous prime is 14770375973. The next prime is 14770376041. The reversal of 14770376016 is 61067307741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764096 + ... + 1772448.

Almost surely, 214770376016 is an apocalyptic number.

14770376016 is a gapful number since it is divisible by the number (16) 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 14770376016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151600064).

14770376016 is an abundant number, since it is smaller than the sum of its proper divisors (29532824112).

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

14770376016 is a wasteful number, since it uses less digits than its factorization.

14770376016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 14770376016 in words is "fourteen billion, seven hundred seventy million, three hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 197 204 264 272 374 394 408 528 561 591 748 788 816 1122 1182 1496 1576 2167 2244 2364 2992 3152 3349 4334 4488 4728 6501 6698 8353 8668 8976 9456 10047 13002 13396 16706 17336 20094 25059 26004 26792 33412 34672 36839 40188 50118 52008 53584 66824 73678 80376 91883 100236 104016 110517 133648 142001 147356 160752 183766 200472 221034 275649 284002 294712 367532 400944 426003 442068 551298 568004 589424 735064 852006 884136 1102596 1136008 1470128 1562011 1645541 1704012 1768272 2205192 2272016 3124022 3291082 3408024 4410384 4686033 4936623 6248044 6582164 6816048 9372066 9873246 12496088 13164328 18100951 18744132 19746492 24992176 26328656 27974197 36201902 37488264 39492984 54302853 55948394 72403804 74976528 78985968 83922591 108605706 111896788 144807608 167845182 217211412 223793576 289615216 307716167 335690364 434422824 447587152 615432334 671380728 868845648 923148501 1230864668 1342761456 1846297002 2461729336 3692594004 4923458672 7385188008 14770376016