Search a number
-
+
632117145720 = 233512743395791
BaseRepresentation
bin10010011001011010001…
…11100011000001111000
32020102121022221002210210
421030231013203001320
540324033442130340
61202220212111120
763445311041244
oct11145507430170
92212538832723
10632117145720
11224096716535
12a26129054a0
13477ba834648
142284795d424
1511699799180
hex932d1e3078

632117145720 has 128 divisors (see below), whose sum is σ = 1915717386240. Its totient is φ = 166849320960.

The previous prime is 632117145707. The next prime is 632117145757. The reversal of 632117145720 is 27541711236.

It is a congruent number.

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, 6551025 + ... + 6646815.

It is an arithmetic number, because the mean of its divisors is an integer number (14966542080).

Almost surely, 2632117145720 is an apocalyptic number.

632117145720 is a gapful number since it is divisible by the number (60) 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 632117145720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957858693120).

632117145720 is an abundant number, since it is smaller than the sum of its proper divisors (1283600240520).

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

632117145720 is a wasteful number, since it uses less digits than its factorization.

632117145720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96365 (or 96361 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 632117145720 its reverse (27541711236), we get a palindrome (659658856956).

The spelling of 632117145720 in words is "six hundred thirty-two billion, one hundred seventeen million, one hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 433 508 635 762 866 1016 1270 1299 1524 1732 1905 2165 2540 2598 3048 3464 3810 4330 5080 5196 6495 7620 8660 10392 12990 15240 17320 25980 51960 54991 95791 109982 164973 191582 219964 274955 287373 329946 383164 439928 478955 549910 574746 659892 766328 824865 957910 1099820 1149492 1319784 1436865 1649730 1915820 2199640 2298984 2873730 3299460 3831640 5747460 6598920 11494920 12165457 24330914 36496371 41477503 48661828 60827285 72992742 82955006 97323656 121654570 124432509 145985484 165910012 182481855 207387515 243309140 248865018 291970968 331820024 364963710 414775030 486618280 497730036 622162545 729927420 829550060 995460072 1244325090 1459854840 1659100120 2488650180 4977300360 5267642881 10535285762 15802928643 21070571524 26338214405 31605857286 42141143048 52676428810 63211714572 79014643215 105352857620 126423429144 158029286430 210705715240 316058572860 632117145720