Search a number
-
+
85777131480 = 23352924648601
BaseRepresentation
bin100111111100010110…
…1110010011111011000
322012101221210202112120
41033320231302133120
52401132421201410
6103223325341240
76124431405345
oct1177055623730
9265357722476
1085777131480
1133417a55507
121475a707820
13811cc9a601
14421a1317cc
152370781570
hex13f8b727d8

85777131480 has 64 divisors (see below), whose sum is σ = 266204901600. Its totient is φ = 22085145600.

The previous prime is 85777131383. The next prime is 85777131481. The reversal of 85777131480 is 8413177758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85777131481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12320821 + ... + 12327780.

Almost surely, 285777131480 is an apocalyptic number.

It is an amenable number.

85777131480 is an abundant number, since it is smaller than the sum of its proper divisors (180427770120).

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

85777131480 is a wasteful number, since it uses less digits than its factorization.

85777131480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24648644 (or 24648640 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 85777131480 in words is "eighty-five billion, seven hundred seventy-seven million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 24648601 49297202 73945803 98594404 123243005 147891606 197188808 246486010 295783212 369729015 492972020 591566424 714809429 739458030 985944040 1429618858 1478916060 2144428287 2859237716 2957832120 3574047145 4288856574 5718475432 7148094290 8577713148 10722141435 14296188580 17155426296 21444282870 28592377160 42888565740 85777131480