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132653664125216 = 25131719987241487
BaseRepresentation
bin11110001010010111010110…
…100001110100000100100000
3122101200120021221020012201022
4132022113112201310010200
5114341344201004001331
61150044130233425012
736640624313460233
oct3612272641640440
9571616257205638
10132653664125216
11392a4115141113
1212a6520386b168
1359032576893b0
1424a868610541a
15105095d7b567b
hex78a5d6874120

132653664125216 has 96 divisors (see below), whose sum is σ = 313468917269760. Its totient is φ = 54590505209856.

The previous prime is 132653664125189. The next prime is 132653664125219. The reversal of 132653664125216 is 612521466356231.

It is not an unprimeable number, because it can be changed into a prime (132653664125219) 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, 493486376 + ... + 493755111.

It is an arithmetic number, because the mean of its divisors is an integer number (3265301221560).

Almost surely, 2132653664125216 is an apocalyptic number.

132653664125216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132653664125216 is an abundant number, since it is smaller than the sum of its proper divisors (180815253144544).

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

132653664125216 is a wasteful number, since it uses less digits than its factorization.

132653664125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987241546 (or 987241538 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 53.

The spelling of 132653664125216 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, six hundred sixty-four million, one hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 884 988 1292 1768 1976 2584 3536 3952 4199 5168 7072 7904 8398 10336 16796 33592 67184 134368 987241487 1974482974 3948965948 7897931896 12834139331 15795863792 16783105279 18757588253 25668278662 31591727584 33566210558 37515176506 51336557324 67132421116 75030353012 102673114648 134264842232 150060706024 205346229296 218180368627 243848647289 268529684464 300121412048 318879000301 410692458592 436360737254 487697294578 537059368928 600242824096 637758000602 872721474508 975394589156 1275516001204 1745442949016 1950789178312 2551032002408 3490885898032 3901578356624 4145427003913 5102064004816 6981771796064 7803156713248 8290854007826 10204128009632 16581708015652 33163416031304 66326832062608 132653664125216