Search a number
-
+
1350256053552 = 243731318616899
BaseRepresentation
bin10011101001100001100…
…010000100110100110000
311210002020122222111021220
4103221201202010310300
5134110311022203202
62512144333145040
7166360414041060
oct23514142046460
94702218874256
101350256053552
1148070538304a
1219983202b180
139a436c19033
14494d1ccd3a0
15251caee7abc
hex13a61884d30

1350256053552 has 160 divisors (see below), whose sum is σ = 4001935526400. Its totient is φ = 384292546560.

The previous prime is 1350256053533. The next prime is 1350256053581. The reversal of 1350256053552 is 2553506520531.

It is a happy number.

It is a super-4 number, since 4×13502560535524 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195714199 + ... + 195721097.

It is an arithmetic number, because the mean of its divisors is an integer number (25012097040).

Almost surely, 21350256053552 is an apocalyptic number.

1350256053552 is a gapful number since it is divisible by the number (12) 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 1350256053552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000967763200).

1350256053552 is an abundant number, since it is smaller than the sum of its proper divisors (2651679472848).

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

1350256053552 is a wasteful number, since it uses less digits than its factorization.

1350256053552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 42.

The spelling of 1350256053552 in words is "one trillion, three hundred fifty billion, two hundred fifty-six million, fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1861 1878 2191 2504 3722 3756 4382 5008 5583 6573 6899 7444 7512 8764 11166 13027 13146 13798 14888 15024 17528 20697 22332 26054 26292 27596 29776 35056 39081 41394 44664 48293 52108 52584 55192 78162 82788 89328 96586 104216 105168 110384 144879 156324 165576 193172 208432 289758 312648 331152 386344 579516 582493 625296 772688 1159032 1164986 1747479 2159387 2318064 2329972 3494958 4077451 4318774 4659944 6478161 6989916 8154902 8637548 9319888 12232353 12839039 12956322 13979832 15115709 16309804 17275096 24464706 25678078 25912644 27959664 30231418 32619608 34550192 38517117 45347127 48929412 51356156 51825288 60462836 65239216 77034234 89873273 90694254 97858824 102712312 103650576 120925672 154068468 179746546 181388508 195717648 205424624 241851344 269619819 308136936 359493092 362777016 539239638 616273872 718986184 725554032 1078479276 1437972368 2156958552 4018619207 4313917104 8037238414 12055857621 16074476828 24111715242 28130334449 32148953656 48223430484 56260668898 64297907312 84391003347 96446860968 112521337796 168782006694 192893721936 225042675592 337564013388 450085351184 675128026776 1350256053552