Search a number
-
+
1975131456 = 26379197661
BaseRepresentation
bin111010110111010…
…0001110101000000
312002122120001222220
41311232201311000
513021113201311
6523553531040
766642224514
oct16556416500
95078501886
101975131456
11923a01551
12471573a80
1325627ac4c
1414a464144
15b85ee206
hex75ba1d40

1975131456 has 112 divisors (see below), whose sum is σ = 5326928640. Its totient is φ = 645765120.

The previous prime is 1975131439. The next prime is 1975131467. The reversal of 1975131456 is 6541315791.

It is a super-2 number, since 2×19751314562 = 7802288536961359872, which contains 22 as substring.

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, 2987766 + ... + 2988426.

Almost surely, 21975131456 is an apocalyptic number.

1975131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663464320).

1975131456 is an abundant number, since it is smaller than the sum of its proper divisors (3351797184).

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

1975131456 is a wasteful number, since it uses less digits than its factorization.

1975131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 1975131456 is about 44442.4510575193. The cubic root of 1975131456 is about 1254.6771879159.

The spelling of 1975131456 in words is "one billion, nine hundred seventy-five million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 197 237 316 394 474 591 632 661 788 948 1182 1264 1322 1576 1896 1983 2364 2528 2644 3152 3792 3966 4728 5056 5288 6304 7584 7932 9456 10576 12608 15168 15563 15864 18912 21152 31126 31728 37824 42304 46689 52219 62252 63456 93378 104438 124504 126912 130217 156657 186756 208876 249008 260434 313314 373512 390651 417752 498016 520868 626628 747024 781302 835504 996032 1041736 1253256 1494048 1562604 1671008 2083472 2506512 2988096 3125208 3342016 4166944 5013024 6250416 8333888 10026048 10287143 12500832 20574286 25001664 30861429 41148572 61722858 82297144 123445716 164594288 246891432 329188576 493782864 658377152 987565728 1975131456