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152006541141 = 3721323126367
BaseRepresentation
bin1000110110010001001…
…0111011111101010101
3112112100121010100212010
42031210102323331111
54442302133304031
6153455243414433
713660602165300
oct2154422737525
9475317110763
10152006541141
1159513803214
1225562824419
13114461a6c00
14750006db37
153e49d35246
hex23644bbf55

152006541141 has 108 divisors (see below), whose sum is σ = 263838542976. Its totient is φ = 77580659520.

The previous prime is 152006541139. The next prime is 152006541151. The reversal of 152006541141 is 141145600251.

It is not a de Polignac number, because 152006541141 - 21 = 152006541139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152006541099 and 152006541108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152006541101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23870940 + ... + 23877306.

It is an arithmetic number, because the mean of its divisors is an integer number (2442949472).

Almost surely, 2152006541141 is an apocalyptic number.

It is an amenable number.

152006541141 is a deficient number, since it is larger than the sum of its proper divisors (111832001835).

152006541141 is a wasteful number, since it uses less digits than its factorization.

152006541141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 152006541141 in words is "one hundred fifty-two billion, six million, five hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 169 217 273 403 507 637 651 961 1183 1209 1519 1911 2821 2883 3549 4557 5239 6367 6727 8281 8463 12493 15717 19101 19747 20181 24843 36673 37479 44569 47089 59241 82771 87451 110019 133707 141267 162409 197377 248313 256711 262353 311983 487227 579397 592131 612157 770133 935949 1076023 1136863 1381639 1738191 1836471 2565901 3228069 3410589 4055779 4144917 6118687 7532161 7697703 7958041 9671473 12167337 17961307 18356061 22596483 23874123 29014419 33356713 42830809 52725127 53883921 79542931 100070139 125729149 128492427 158175381 233496991 238628793 299815663 377187447 556800517 700490973 899446989 1034058103 1634478937 1670401551 3102174309 3897603619 4903436811 7238406721 11692810857 21715220163 50668847047 152006541141