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132954677802 = 2336152817643
BaseRepresentation
bin111101111010010110…
…1110110001000101010
3110201011211200102121000
41323310231312020222
54134242344142202
6141024544055430
712414512054232
oct1736455661052
9421154612530
10132954677802
11514274a4311
1221926304576
13c6cb07abab
146613a74cc2
1536d245391c
hex1ef4b7622a

132954677802 has 64 divisors (see below), whose sum is σ = 300394523520. Its totient is φ = 43577740800.

The previous prime is 132954677773. The next prime is 132954677809. The reversal of 132954677802 is 208776459231.

It is a happy number.

132954677802 is a `hidden beast` number, since 1 + 3 + 29 + 546 + 7 + 78 + 0 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132954677809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17391793 + ... + 17399435.

It is an arithmetic number, because the mean of its divisors is an integer number (4693664430).

It is a 1-persistent number, because it is pandigital, but 2⋅132954677802 = 265909355604 is not.

Almost surely, 2132954677802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132954677802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150197261760).

132954677802 is an abundant number, since it is smaller than the sum of its proper divisors (167439845718).

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

132954677802 is a wasteful number, since it uses less digits than its factorization.

132954677802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 132954677802 in words is "one hundred thirty-two billion, nine hundred fifty-four million, six hundred seventy-seven thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 5281 7643 10562 15286 15843 22929 31686 45858 47529 68787 95058 137574 142587 206361 285174 322141 412722 466223 644282 932446 966423 1398669 1932846 2797338 2899269 4196007 5798538 8392014 8697807 12588021 17395614 25176042 40362683 80725366 121088049 242176098 363264147 726528294 1089792441 2179584882 2462123663 4924247326 7386370989 14772741978 22159112967 44318225934 66477338901 132954677802