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1974305016 = 23356116649
BaseRepresentation
bin111010110101101…
…1000000011111000
312002121000002100000
41311223120003320
513020410230031
6523524113000
766632213205
oct16553300370
95077002300
101974305016
11923497642
12471235760
1325604ba28
1414a2cacac
15b84d93e6
hex75ad80f8

1974305016 has 96 divisors (see below), whose sum is σ = 5636358000. Its totient is φ = 647274240.

The previous prime is 1974304973. The next prime is 1974305059. The reversal of 1974305016 is 6105034791.

1974305016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1974304973) and next prime (1974305059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110260 + ... + 126908.

Almost surely, 21974305016 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 1974305016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818179000).

1974305016 is an abundant number, since it is smaller than the sum of its proper divisors (3662052984).

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

1974305016 is a wasteful number, since it uses less digits than its factorization.

1974305016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16715 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1974305016 is about 44433.1522176854. The cubic root of 1974305016 is about 1254.5021683295.

The spelling of 1974305016 in words is "one billion, nine hundred seventy-four million, three hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 243 244 324 366 486 488 549 648 732 972 1098 1464 1647 1944 2196 3294 4392 4941 6588 9882 13176 14823 16649 19764 29646 33298 39528 49947 59292 66596 99894 118584 133192 149841 199788 299682 399576 449523 599364 899046 1015589 1198728 1348569 1798092 2031178 2697138 3046767 3596184 4045707 4062356 5394276 6093534 8091414 8124712 9140301 10788552 12187068 16182828 18280602 24374136 27420903 32365656 36561204 54841806 73122408 82262709 109683612 164525418 219367224 246788127 329050836 493576254 658101672 987152508 1974305016