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1973250864 = 2432132294603
BaseRepresentation
bin111010110011101…
…0110101100110000
312002112000112022100
41311213112230300
513020123011424
6523445340400
766620232654
oct16547265460
95075015270
101973250864
11922937642
12470a07700
13255a6cc80
1414a0d4a64
15b837bdc9
hex759d6b30

1973250864 has 120 divisors (see below), whose sum is σ = 5974426640. Its totient is φ = 604371456.

The previous prime is 1973250863. The next prime is 1973250887. The reversal of 1973250864 is 4680523791.

1973250864 is a `hidden beast` number, since 19 + 73 + 2 + 508 + 64 = 666.

1973250864 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1973250864 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1973250863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426387 + ... + 430989.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1973250864 = 3946501728, but 3⋅1973250864 = 5919752592 is not.

Almost surely, 21973250864 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 1973250864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987213320).

1973250864 is an abundant number, since it is smaller than the sum of its proper divisors (4001175776).

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

1973250864 is a wasteful number, since it uses less digits than its factorization.

1973250864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1973250864 is about 44421.2884099505. The cubic root of 1973250864 is about 1254.2788540671.

The spelling of 1973250864 in words is "one billion, nine hundred seventy-three million, two hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 229 234 312 458 468 624 687 916 936 1374 1832 1872 2061 2748 2977 3664 4122 4603 5496 5954 8244 8931 9206 10992 11908 13809 16488 17862 18412 23816 26793 27618 32976 35724 36824 41427 47632 53586 55236 59839 71448 73648 82854 107172 110472 119678 142896 165708 179517 214344 220944 239356 331416 359034 428688 478712 538551 662832 718068 957424 1054087 1077102 1436136 2108174 2154204 2872272 3162261 4216348 4308408 6324522 8432696 8616816 9486783 12649044 13703131 16865392 18973566 25298088 27406262 37947132 41109393 50596176 54812524 75894264 82218786 109625048 123328179 151788528 164437572 219250096 246656358 328875144 493312716 657750288 986625432 1973250864