Search a number
-
+
38457681126550 = 25273371399923291
BaseRepresentation
bin10001011111010001000000…
…11011000010010010010110
312001011111222220212100201121
420233220200123002102112
520020042312332022200
6213443114222114154
711046322121655250
oct1057504033022226
9161144886770647
1038457681126550
11112878a1451804
12439143371b95a
13185c70b87904a
1496d50c6dccd0
1546a58c4dbe1a
hex22fa206c2496

38457681126550 has 96 divisors (see below), whose sum is σ = 82002001536000. Its totient is φ = 13144861094400.

The previous prime is 38457681126497. The next prime is 38457681126581. The reversal of 38457681126550 is 5562118675483.

It is a super-2 number, since 2×384576811265502 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651170405 + ... + 1651193695.

It is an arithmetic number, because the mean of its divisors is an integer number (854187516000).

Almost surely, 238457681126550 is an apocalyptic number.

38457681126550 is an abundant number, since it is smaller than the sum of its proper divisors (43544320409450).

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

38457681126550 is a wasteful number, since it uses less digits than its factorization.

38457681126550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37646 (or 37641 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 61.

The spelling of 38457681126550 in words is "thirty-eight trillion, four hundred fifty-seven billion, six hundred eighty-one million, one hundred twenty-six thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 337 350 674 1685 2359 3370 4718 8425 11795 13999 16850 23291 23590 27998 46582 58975 69995 97993 116455 117950 139990 163037 195986 232910 326074 349975 489965 582275 699950 815185 979930 1164550 1630370 2449825 4075925 4717663 4899650 7849067 8151850 9435326 15698134 23588315 33023641 39245335 47176630 54943469 66047282 78490670 109886938 117941575 165118205 196226675 235883150 274717345 326050709 330236410 392453350 549434690 652101418 825591025 1373586725 1630253545 1651182050 2282354963 2747173450 3260507090 4564709926 8151267725 11411774815 16302535450 22823549630 57058874075 109879088933 114117748150 219758177866 549395444665 769153622531 1098790889330 1538307245062 2746977223325 3845768112655 5493954446650 7691536225310 19228840563275 38457681126550