Search a number
-
+
380837988540 = 2232517196550361
BaseRepresentation
bin1011000101010111011…
…01101000100010111100
31100102000020212022220200
411202223231220202330
522214424011113130
6450542103443500
736341343330252
oct5425355504274
91312006768820
10380837988540
11137570130599
1261985a56590
1329bb3757719
141460b2d45d2
159d8e50a760
hex58abb688bc

380837988540 has 144 divisors (see below), whose sum is σ = 1287539154720. Its totient is φ = 90552176640.

The previous prime is 380837988539. The next prime is 380837988541. The reversal of 380837988540 is 45889738083.

380837988540 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 3 + 7 + 9 + 88 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (380837988539) and next prime (380837988541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380837988541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217041 + ... + 3333320.

It is an arithmetic number, because the mean of its divisors is an integer number (8941244130).

Almost surely, 2380837988540 is an apocalyptic number.

380837988540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380837988540 is an abundant number, since it is smaller than the sum of its proper divisors (906701166180).

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

380837988540 is a wasteful number, since it uses less digits than its factorization.

380837988540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550412 (or 6550407 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 380837988540 in words is "three hundred eighty billion, eight hundred thirty-seven million, nine hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4845 5814 6460 9690 11628 14535 19380 29070 58140 6550361 13100722 19651083 26201444 32751805 39302166 58953249 65503610 78604332 98255415 111356137 117906498 124456859 131007220 196510830 222712274 235812996 248913718 294766245 334068411 373370577 393021660 445424548 497827436 556780685 589532490 622284295 668136822 746741154 1002205233 1113561370 1120111731 1179064980 1244568590 1336273644 1493482308 1670342055 1866852885 2004410466 2115766603 2227122740 2240223462 2489137180 3340684110 3733705770 4008820932 4231533206 4480446924 5011026165 5600558655 6347299809 6681368220 7467411540 8463066412 10022052330 10578833015 11201117310 12694599618 19041899427 20044104660 21157666030 22402234620 25389199236 31736499045 38083798854 42315332060 63472998090 76167597708 95209497135 126945996180 190418994270 380837988540