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132577090975 = 5277914876449
BaseRepresentation
bin111101101111000110…
…1011101110110011111
3110200012112012000211201
41323132031131312133
54133004213402400
6140523255100331
712402245452060
oct1733615356637
9420175160751
10132577090975
115125334778a
122183b9716a7
13c66aa86234
1465b9866567
1536ae21b06a
hex1ede35dd9f

132577090975 has 48 divisors (see below), whose sum is σ = 190416384000. Its totient is φ = 89684974080.

The previous prime is 132577090973. The next prime is 132577090979. The reversal of 132577090975 is 579090775231.

It is not a de Polignac number, because 132577090975 - 21 = 132577090973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132577090973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20554551 + ... + 20560999.

It is an arithmetic number, because the mean of its divisors is an integer number (3967008000).

Almost surely, 2132577090975 is an apocalyptic number.

132577090975 is a deficient number, since it is larger than the sum of its proper divisors (57839293025).

132577090975 is a wasteful number, since it uses less digits than its factorization.

132577090975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 55.

The spelling of 132577090975 in words is "one hundred thirty-two billion, five hundred seventy-seven million, ninety thousand, nine hundred seventy-five".

Divisors: 1 5 7 25 35 79 175 395 553 1487 1975 2765 6449 7435 10409 13825 32245 37175 45143 52045 117473 161225 225715 260225 509471 587365 822311 1128575 2547355 2936825 3566297 4111555 9589663 12736775 17831485 20557775 47948315 67127641 89157425 239741575 335638205 757583377 1678191025 3787916885 5303083639 18939584425 26515418195 132577090975