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132606276740 = 2257171032272383
BaseRepresentation
bin111101101111111110…
…0110011010010000100
3110200021120002211011222
41323133330303102010
54133034201323430
6140530220415512
712403051516550
oct1733774632204
9420246084158
10132606276740
1151268871453
12218496a7598
13c673b34712
1465bd6a2860
1536b1a839e5
hex1edff33484

132606276740 has 192 divisors, whose sum is σ = 341889859584. Its totient is φ = 42170775552.

The previous prime is 132606276731. The next prime is 132606276779. The reversal of 132606276740 is 47672606231.

132606276740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132606276691 and 132606276700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55645589 + ... + 55647971.

It is an arithmetic number, because the mean of its divisors is an integer number (1780676352).

Almost surely, 2132606276740 is an apocalyptic number.

132606276740 is a gapful number since it is divisible by the number (10) 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 132606276740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170944929792).

132606276740 is an abundant number, since it is smaller than the sum of its proper divisors (209283582844).

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

132606276740 is a wasteful number, since it uses less digits than its factorization.

132606276740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 132606276740 in words is "one hundred thirty-two billion, six hundred six million, two hundred seventy-six thousand, seven hundred forty".