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123920074752 = 211331164853
BaseRepresentation
bin111001101101000110…
…1100100100000000000
3102211212012111001010020
41303122031210200000
54012242014343002
6132532245133440
711644566153525
oct1633215444000
9384765431106
10123920074752
1148610719321
12200246ba280
13b8bb3a3726
145dd7c1314c
1533541de2bc
hex1cda364800

123920074752 has 96 divisors (see below), whose sum is σ = 331440258240. Its totient is φ = 41173237760.

The previous prime is 123920074711. The next prime is 123920074753. The reversal of 123920074752 is 257470029321.

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 (123920074753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878358 + ... + 1943210.

It is an arithmetic number, because the mean of its divisors is an integer number (3452502690).

Almost surely, 2123920074752 is an apocalyptic number.

123920074752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123920074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165720129120).

123920074752 is an abundant number, since it is smaller than the sum of its proper divisors (207520183488).

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

123920074752 is an equidigital number, since it uses as much as digits as its factorization.

123920074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65189 (or 65169 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 123920074752 in words is "one hundred twenty-three billion, nine hundred twenty million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 512 622 768 933 1024 1244 1536 1866 2048 2488 3072 3732 4976 6144 7464 9952 14928 19904 29856 39808 59712 64853 79616 119424 129706 159232 194559 238848 259412 318464 389118 477696 518824 636928 778236 955392 1037648 1556472 1910784 2075296 3112944 4150592 6225888 8301184 12451776 16602368 20169283 24903552 33204736 40338566 49807104 60507849 66409472 80677132 99614208 121015698 132818944 161354264 199228416 242031396 322708528 398456832 484062792 645417056 968125584 1290834112 1936251168 2581668224 3872502336 5163336448 7745004672 10326672896 15490009344 20653345792 30980018688 41306691584 61960037376 123920074752