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97764071424 = 211339892
BaseRepresentation
bin101101100001100110…
…0010101100000000000
3100100100100100101212020
41123003030111200000
53100210100241144
6112525011201440
710030453616205
oct1330314254000
9310310311766
1097764071424
11385092a6948
1216b44ba6280
1392b050b796
144a3610dcac
152822cc2419
hex16c3315800

97764071424 has 72 divisors (see below), whose sum is σ = 260705898180. Its totient is φ = 32579854336.

The previous prime is 97764071357. The next prime is 97764071429. The reversal of 97764071424 is 42417046779.

It is a super-2 number, since 2×977640714242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97764071429) 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 5 ways as a sum of consecutive naturals, for example, 24506422 + ... + 24510410.

Almost surely, 297764071424 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 97764071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130352949090).

97764071424 is an abundant number, since it is smaller than the sum of its proper divisors (162941826756).

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

97764071424 is an frugal number, since it uses more digits than its factorization.

97764071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 97764071424 in words is "ninety-seven billion, seven hundred sixty-four million, seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3989 6144 7978 11967 15956 23934 31912 47868 63824 95736 127648 191472 255296 382944 510592 765888 1021184 1531776 2042368 3063552 4084736 6127104 8169472 12254208 15912121 24508416 31824242 47736363 63648484 95472726 127296968 190945452 254593936 381890904 509187872 763781808 1018375744 1527563616 2036751488 3055127232 4073502976 6110254464 8147005952 12220508928 16294011904 24441017856 32588023808 48882035712 97764071424