Search a number
-
+
82359100978704 = 24321194155254391
BaseRepresentation
bin10010101110011110111000…
…111101010011011000010000
3101210121110020100112200201100
4102232132320331103120100
541243332414322304304
6451055125413504400
723230151204434314
oct2256367075233020
9353543210480640
1082359100978704
1124273331450280
1292a18b4342100
1336c557863c2b4
14164a2b7895b44
1597c538941439
hex4ae7b8f53610

82359100978704 has 120 divisors (see below), whose sum is σ = 251712045808704. Its totient is φ = 24930780768000.

The previous prime is 82359100978663. The next prime is 82359100978709. The reversal of 82359100978704 is 40787900195328.

82359100978704 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (82359100978709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26136652 + ... + 29117739.

Almost surely, 282359100978704 is an apocalyptic number.

It is an amenable number.

82359100978704 is an abundant number, since it is smaller than the sum of its proper divisors (169352944830000).

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

82359100978704 is a wasteful number, since it uses less digits than its factorization.

82359100978704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55255357 (or 55255348 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 82359100978704 in words is "eighty-two trillion, three hundred fifty-nine billion, one hundred million, nine hundred seventy-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 941 1584 1882 2823 3764 5646 7528 8469 10351 11292 15056 16938 20702 22584 31053 33876 41404 45168 62106 67752 82808 93159 124212 135504 165616 186318 248424 372636 496848 745272 1490544 55254391 110508782 165763173 221017564 331526346 442035128 497289519 607798301 663052692 884070256 994579038 1215596602 1326105384 1823394903 1989158076 2431193204 2652210768 3646789806 3978316152 4862386408 5470184709 7293579612 7956632304 9724772816 10940369418 14587159224 21880738836 29174318448 43761477672 51994381931 87522955344 103988763862 155983145793 207977527724 311966291586 415955055448 467949437379 571938201241 623932583172 831910110896 935898874758 1143876402482 1247865166344 1715814603723 1871797749516 2287752804964 2495730332688 3431629207446 3743595499032 4575505609928 5147443811169 6863258414892 7487190998064 9151011219856 10294887622338 13726516829784 20589775244676 27453033659568 41179550489352 82359100978704