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80114455296 = 283329399677
BaseRepresentation
bin100101010011100110…
…0011001001100000000
321122210022111000011000
41022213030121030000
52303033300032141
6100445402452000
75534211430341
oct1124714311400
9248708430130
1080114455296
1130a81581037
121363a204000
137729a6a045
143c400500c8
15213d57b5b6
hex12a7319300

80114455296 has 144 divisors (see below), whose sum is σ = 245082549600. Its totient is φ = 25783898112.

The previous prime is 80114455279. The next prime is 80114455303. The reversal of 80114455296 is 69255441108.

80114455296 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 4 + 4 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 400286.

It is an arithmetic number, because the mean of its divisors is an integer number (1701962150).

Almost surely, 280114455296 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 80114455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122541274800).

80114455296 is an abundant number, since it is smaller than the sum of its proper divisors (164968094304).

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

80114455296 is a wasteful number, since it uses less digits than its factorization.

80114455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399731 (or 399711 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 80114455296 in words is "eighty billion, one hundred fourteen million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6912 7424 8352 11136 12528 16704 22272 25056 33408 50112 66816 100224 200448 399677 799354 1199031 1598708 2398062 3197416 3597093 4796124 6394832 7194186 9592248 10791279 11590633 12789664 14388372 19184496 21582558 23181266 25579328 28776744 34771899 38368992 43165116 46362532 51158656 57553488 69543798 76737984 86330232 92725064 102317312 104315697 115106976 139087596 153475968 172660464 185450128 208631394 230213952 278175192 306951936 312947091 345320928 370900256 417262788 460427904 556350384 625894182 690641856 741800512 834525576 920855808 1112700768 1251788364 1381283712 1483601024 1669051152 2225401536 2503576728 2762567424 2967202048 3338102304 4450803072 5007153456 6676204608 8901606144 10014306912 13352409216 20028613824 26704818432 40057227648 80114455296