Search a number
-
+
74029536624 = 24383143312967
BaseRepresentation
bin100010011110010000…
…0010001010101110000
321002002020122002221210
41010330200101111300
52203103030132444
654001513520120
75230343451561
oct1047440212560
9232066562853
1074029536624
112943981a62a
1212420413040
136c9a20b154
143823c58168
151dd426c7b9
hex113c811570

74029536624 has 80 divisors (see below), whose sum is σ = 193697102592. Its totient is φ = 24360313344.

The previous prime is 74029536613. The next prime is 74029536653. The reversal of 74029536624 is 42663592047.

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

It is a congruent number.

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, 5702589 + ... + 5715555.

Almost surely, 274029536624 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 74029536624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96848551296).

74029536624 is an abundant number, since it is smaller than the sum of its proper divisors (119667565968).

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

74029536624 is a wasteful number, since it uses less digits than its factorization.

74029536624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14494 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 74029536624 in words is "seventy-four billion, twenty-nine million, five hundred thirty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1433 1992 2866 3984 4299 5732 8598 11464 12967 17196 22928 25934 34392 38901 51868 68784 77802 103736 118939 155604 207472 237878 311208 356817 475756 622416 713634 951512 1076261 1427268 1903024 2152522 2854536 3228783 4305044 5709072 6457566 8610088 12915132 17220176 18581711 25830264 37163422 51660528 55745133 74326844 111490266 148653688 222980532 297307376 445961064 891922128 1542282013 3084564026 4626846039 6169128052 9253692078 12338256104 18507384156 24676512208 37014768312 74029536624