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75938332140 = 223351112784231
BaseRepresentation
bin100011010111001000…
…1101111110111101100
321021000021100222011000
41012232101233313230
52221010203112030
654515142000300
75325552113226
oct1065621576754
9237007328130
1075938332140
112a229232990
1212873716090
137212801258
143965571416
151e96b16860
hex11ae46fdec

75938332140 has 96 divisors (see below), whose sum is σ = 257730117120. Its totient is φ = 18409291200.

The previous prime is 75938332139. The next prime is 75938332147. The reversal of 75938332140 is 4123383957.

75938332140 is a `hidden beast` number, since 7 + 59 + 383 + 3 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75938332147) 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, 6386176 + ... + 6398055.

It is an arithmetic number, because the mean of its divisors is an integer number (2684688720).

Almost surely, 275938332140 is an apocalyptic number.

It is an amenable number.

75938332140 is an abundant number, since it is smaller than the sum of its proper divisors (181791784980).

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

75938332140 is a wasteful number, since it uses less digits than its factorization.

75938332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784260 (or 12784252 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 75938332140 in words is "seventy-five billion, nine hundred thirty-eight million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 12784231 25568462 38352693 51136924 63921155 76705386 115058079 127842310 140626541 153410772 191763465 230116158 255684620 281253082 345174237 383526930 421879623 460232316 562506164 575290395 690348474 703132705 767053860 843759246 1150580790 1265638869 1380696948 1406265410 1687518492 1725871185 2109398115 2301161580 2531277738 2812530820 3451742370 3796916607 4218796230 5062555476 6328194345 6903484740 7593833214 8437592460 12656388690 15187666428 18984583035 25312777380 37969166070 75938332140