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1957793334 = 23727121321
BaseRepresentation
bin111010010110001…
…1000111000110110
312001102221012120020
41310230120320312
513002143341314
6522134150010
766341653200
oct16454307066
95042835506
101957793334
1191513a122
124677b2306
132527ba2c3
1414802d770
15b6d26da9
hex74b18e36

1957793334 has 72 divisors (see below), whose sum is σ = 4623420024. Its totient is φ = 551073600.

The previous prime is 1957793329. The next prime is 1957793371. The reversal of 1957793334 is 4333977591.

It is a happy number.

1957793334 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1481394 + ... + 1482714.

It is an arithmetic number, because the mean of its divisors is an integer number (64214167).

Almost surely, 21957793334 is an apocalyptic number.

1957793334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957793334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311710012).

1957793334 is an abundant number, since it is smaller than the sum of its proper divisors (2665626690).

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

1957793334 is a wasteful number, since it uses less digits than its factorization.

1957793334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1404 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 51.

The square root of 1957793334 is about 44246.9584717413. The cubic root of 1957793334 is about 1250.9951188339.

The spelling of 1957793334 in words is "one billion, nine hundred fifty-seven million, seven hundred ninety-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1321 1491 2642 2982 3479 3963 5041 6958 7926 9247 10082 10437 15123 18494 20874 27741 30246 35287 55482 64729 70574 93791 105861 129458 187582 194187 211722 247009 281373 388374 494018 562746 656537 741027 1313074 1482054 1969611 3939222 4595759 6659161 9191518 13318322 13787277 19977483 27574554 39954966 46614127 93228254 139842381 279684762 326298889 652597778 978896667 1957793334