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132977606970 = 235136110155343
BaseRepresentation
bin111101111011000010…
…1010100000100111010
3110201020102211100111110
41323312011110010322
54134314231410340
6141031123341150
712415211003145
oct1736605240472
9421212740443
10132977606970
115143943533a
1221931b217b6
13c702a48650
146616b2305c
1536d4482680
hex1ef615413a

132977606970 has 128 divisors (see below), whose sum is σ = 352795419648. Its totient is φ = 31876992000.

The previous prime is 132977606963. The next prime is 132977606987. The reversal of 132977606970 is 79606779231.

It is a self number, because there is not a number n which added to its sum of digits gives 132977606970.

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 63 ways as a sum of consecutive naturals, for example, 2375119 + ... + 2430461.

It is an arithmetic number, because the mean of its divisors is an integer number (2756214216).

Almost surely, 2132977606970 is an apocalyptic number.

132977606970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132977606970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176397709824).

132977606970 is an abundant number, since it is smaller than the sum of its proper divisors (219817812678).

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

132977606970 is a wasteful number, since it uses less digits than its factorization.

132977606970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55528.

The product of its (nonzero) digits is 6001128, while the sum is 57.

It can be divided in two parts, 13297 and 7606970, that added together give a palindrome (7620267).

The spelling of 132977606970 in words is "one hundred thirty-two billion, nine hundred seventy-seven million, six hundred six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 101 122 130 183 195 202 303 305 366 390 505 606 610 793 915 1010 1313 1515 1586 1830 2379 2626 3030 3939 3965 4758 6161 6565 7878 7930 11895 12322 13130 18483 19695 23790 30805 36966 39390 55343 61610 80093 92415 110686 160186 166029 184830 240279 276715 332058 400465 480558 553430 719459 800930 830145 1201395 1438918 1660290 2158377 2402790 3375923 3597295 4316754 5589643 6751846 7194590 10127769 10791885 11179286 16768929 16879615 20255538 21583770 27948215 33537858 33759230 43886999 50638845 55896430 72665359 83844645 87773998 101277690 131660997 145330718 167689290 217996077 219434995 263321994 340968223 363326795 435992154 438869990 658304985 681936446 726653590 1022904669 1089980385 1316609970 1704841115 2045809338 2179960770 3409682230 4432586899 5114523345 8865173798 10229046690 13297760697 22162934495 26595521394 44325868990 66488803485 132977606970