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80320829952 = 293112432167
BaseRepresentation
bin100101011001101111…
…1101001101000000000
321200022200210220221210
41022303133221220000
52303444113024302
6100522054050120
75542265534616
oct1126337515000
9250280726853
1080320829952
1131078018400
1213697349940
137760746a1c
143c5d6116b6
15215174466c
hex12b37e9a00

80320829952 has 120 divisors (see below), whose sum is σ = 235201383648. Its totient is φ = 24339589120.

The previous prime is 80320829933. The next prime is 80320829959. The reversal of 80320829952 is 25992802308.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (80320829959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30228 + ... + 401939.

Almost surely, 280320829952 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 80320829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600691824).

80320829952 is an abundant number, since it is smaller than the sum of its proper divisors (154880553696).

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

80320829952 is a wasteful number, since it uses less digits than its factorization.

80320829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432210 (or 432183 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 80320829952 in words is "eighty billion, three hundred twenty million, eight hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1408 1452 1536 1936 2112 2816 2904 3872 4224 5632 5808 7744 8448 11616 15488 16896 23232 30976 46464 61952 92928 185856 432167 864334 1296501 1728668 2593002 3457336 4753837 5186004 6914672 9507674 10372008 13829344 14261511 19015348 20744016 27658688 28523022 38030696 41488032 52292207 55317376 57046044 76061392 82976064 104584414 110634752 114092088 152122784 156876621 165952128 209168828 221269504 228184176 304245568 313753242 331904256 418337656 456368352 608491136 627506484 663808512 836675312 912736704 1216982272 1255012968 1673350624 1825473408 2433964544 2510025936 3346701248 3650946816 5020051872 6693402496 7301893632 10040103744 13386804992 20080207488 26773609984 40160414976 80320829952