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132720471639 = 327171937917209
BaseRepresentation
bin111101110011011000…
…0011010111001010111
3110200120111222112010200
41323212300122321113
54133302420043024
6140545420151543
712405636252360
oct1734660327127
9420514875120
10132720471639
11513172787a8
122187b9985b3
13c6916a8272
1465d090ab67
1536bbade2c9
hex1ee6c1ae57

132720471639 has 96 divisors (see below), whose sum is σ = 244850112000. Its totient is φ = 67439941632.

The previous prime is 132720471619. The next prime is 132720471661. The reversal of 132720471639 is 936174027231.

132720471639 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 2 + 0 + 4 + 7 + 1 + 639 = 666.

It is not a de Polignac number, because 132720471639 - 211 = 132720469591 is a prime.

It is a super-2 number, since 2×1327204716392 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132720471594 and 132720471603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132720471619) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7703667 + ... + 7720875.

It is an arithmetic number, because the mean of its divisors is an integer number (2550522000).

Almost surely, 2132720471639 is an apocalyptic number.

132720471639 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132720471639 is a deficient number, since it is larger than the sum of its proper divisors (112129640361).

132720471639 is a wasteful number, since it uses less digits than its factorization.

132720471639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17637 (or 17634 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 132720471639 in words is "one hundred thirty-two billion, seven hundred twenty million, four hundred seventy-one thousand, six hundred thirty-nine".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 379 399 969 1071 1137 1197 2261 2653 2907 3411 6443 6783 7201 7959 17209 19329 20349 21603 23877 45101 50407 51627 57987 64809 120463 122417 135303 151221 154881 292553 326971 361389 367251 405909 453663 856919 877659 980913 1084167 1101753 2047871 2288797 2570757 2632977 2942739 5558507 6143613 6522211 6866391 7712271 16675521 18430839 19566633 20599173 38909549 45655477 50026563 58699899 110877587 116728647 123922009 136966431 332632761 350185941 371766027 410899293 776143109 867454063 997898283 1115298081 2106674153 2328429327 2602362189 6320022459 6985287981 7807086567 14746719071 18960067377 44240157213 132720471639