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132214522461216 = 25313602917571923
BaseRepresentation
bin11110000011111110010111…
…101001010011110000100000
3122100010120210101201021212020
4132003332113221103300200
5114312200320222224331
61145110302455501440
736564120056065566
oct3603762751236040
9570116711637766
10132214522461216
1139144956116278
12129b4088087880
1358a0a11a65130
142491307767a36
15104430a931c96
hex783f97a53c20

132214522461216 has 96 divisors (see below), whose sum is σ = 373822299668160. Its totient is φ = 40674641593344.

The previous prime is 132214522461211. The next prime is 132214522461227. The reversal of 132214522461216 is 612164225412231.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (132214522461211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261770 + ... + 16310153.

It is an arithmetic number, because the mean of its divisors is an integer number (3893982288210).

Almost surely, 2132214522461216 is an apocalyptic number.

132214522461216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132214522461216 is an abundant number, since it is smaller than the sum of its proper divisors (241607777206944).

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

132214522461216 is a wasteful number, since it uses less digits than its factorization.

132214522461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577978 (or 17577970 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

Adding to 132214522461216 its reverse (612164225412231), we get a palindrome (744378747873447).

The spelling of 132214522461216 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred twenty-two million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 6029 12058 18087 24116 36174 48232 72348 78377 96464 144696 156754 192928 235131 289392 313508 470262 578784 627016 940524 1254032 1881048 2508064 3762096 7524192 17571923 35143846 52715769 70287692 105431538 140575384 210863076 228434999 281150768 421726152 456869998 562301536 685304997 843452304 913739996 1370609994 1686904608 1827479992 2741219988 3654959984 5482439976 7309919968 10964879952 21929759904 105941123767 211882247534 317823371301 423764495068 635646742602 847528990136 1271293485204 1377234608971 1695057980272 2542586970408 2754469217942 3390115960544 4131703826913 5085173940816 5508938435884 8263407653826 10170347881632 11017876871768 16526815307652 22035753743536 33053630615304 44071507487072 66107261230608 132214522461216