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147214977096 = 2331112712793433
BaseRepresentation
bin1000100100011010110…
…0100100100001001000
3112001222122221200200010
42021012230210201020
54402444013231341
6151343555511520
713431060441645
oct2110654444110
9461878850603
10147214977096
1157485020230
1224645bb85a0
1310b61597305
1471a7948dcc
153c69352716
hex2246b24848

147214977096 has 128 divisors (see below), whose sum is σ = 405091123200. Its totient is φ = 44211847680.

The previous prime is 147214977089. The next prime is 147214977097. The reversal of 147214977096 is 690779412741.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (147214977097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42880596 + ... + 42884028.

It is an arithmetic number, because the mean of its divisors is an integer number (3164774400).

Almost surely, 2147214977096 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 147214977096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202545561600).

147214977096 is an abundant number, since it is smaller than the sum of its proper divisors (257876146104).

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

147214977096 is a wasteful number, since it uses less digits than its factorization.

147214977096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 147214977096 in words is "one hundred forty-seven billion, two hundred fourteen million, nine hundred seventy-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1279 1397 1524 2558 2794 3048 3433 3837 4191 5116 5588 6866 7674 8382 10232 10299 11176 13732 14069 15348 16764 20598 27464 28138 30696 33528 37763 41196 42207 56276 75526 82392 84414 112552 113289 151052 162433 168828 226578 302104 324866 337656 435991 453156 487299 649732 871982 906312 974598 1299464 1307973 1743964 1786763 1949196 2615946 3487928 3573526 3898392 4390807 4795901 5231892 5360289 7147052 8781614 9591802 10463784 10720578 13172421 14294104 14387703 17563228 19183604 21441156 26344842 28775406 35126456 38367208 42882312 48298877 52689684 57550812 96597754 105379368 115101624 144896631 193195508 289793262 386391016 557632489 579586524 1115264978 1159173048 1672897467 2230529956 3345794934 4461059912 6133957379 6691589868 12267914758 13383179736 18401872137 24535829516 36803744274 49071659032 73607488548 147214977096