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132078613562116 = 22132412107812
BaseRepresentation
bin11110000001111111110010…
…110110000000001100000100
3122022122120222200010212111121
4132001333302312000030010
5114302434000032441431
61144524024420243324
736551236112362264
oct3601776266001404
9568576880125447
10132078613562116
11390a2253089861
1212991878540544
135890c62940900
1424888d36057a4
151040a03e7d611
hex781ff2d80304

132078613562116 has 81 divisors (see below), whose sum is σ = 256562267042109. Its totient is φ = 59467030022400.

The previous prime is 132078613562101. The next prime is 132078613562117. The reversal of 132078613562116 is 611265316870231.

The square root of 132078613562116 is 11492546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 113104713904900 + 18973899657216 = 10635070^2 + 4355904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132078613562117) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12251048646 + ... + 12251059426.

Almost surely, 2132078613562116 is an apocalyptic number.

132078613562116 is the 11492546-th square number.

It is an amenable number.

132078613562116 is a deficient number, since it is larger than the sum of its proper divisors (124483653479993).

132078613562116 is an frugal number, since it uses more digits than its factorization.

132078613562116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21674 (or 10837 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 132078613562116 in words is "one hundred thirty-two trillion, seventy-eight billion, six hundred thirteen million, five hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 41 52 82 164 169 338 533 676 1066 1681 2132 3362 6724 6929 10781 13858 21562 21853 27716 43124 43706 87412 140153 280306 284089 442021 560612 568178 884042 1136356 1768084 1821989 3643978 5746273 7287956 11492546 18122861 22985092 36245722 72491444 74701549 116229961 149403098 232459922 235597193 298806196 464919844 471194386 942388772 1510989493 3021978986 3062763509 4765428401 6043957972 6125527018 9530856802 12251054036 19061713604 19642863409 39285726818 61950569213 78571453636 123901138426 195382564441 247802276852 390765128882 781530257764 805357399769 1610714799538 2539973337733 3221429599076 5079946675466 10159893350932 33019653390529 66039306781058 132078613562116