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152972000195 = 57219412113173
BaseRepresentation
bin1000111001110111010…
…1110111101111000011
3112121211212210202200212
42032131311313233003
510001241313001240
6154135132504335
714023534355600
oct2163565675703
9477755722625
10152972000195
1159969784963
122579201b0ab
131156b20c261
1475923896a7
153ea4992165
hex239dd77bc3

152972000195 has 144 divisors (see below), whose sum is σ = 233773607520. Its totient is φ = 95537111040.

The previous prime is 152972000183. The next prime is 152972000197. The reversal of 152972000195 is 591000279251.

It is not a de Polignac number, because 152972000195 - 24 = 152972000179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (152972000197) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 884231129 + ... + 884231301.

It is an arithmetic number, because the mean of its divisors is an integer number (1623427830).

Almost surely, 2152972000195 is an apocalyptic number.

152972000195 is a deficient number, since it is larger than the sum of its proper divisors (80801607325).

152972000195 is a wasteful number, since it uses less digits than its factorization.

152972000195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 41.

The spelling of 152972000195 in words is "one hundred fifty-two billion, nine hundred seventy-two million, one hundred ninety-five", and thus it is an aban number.

Divisors: 1 5 7 19 35 41 49 95 113 133 173 205 245 287 565 665 779 791 865 931 1211 1435 1681 2009 2147 3287 3895 3955 4633 4655 5453 5537 6055 7093 8405 8477 10045 10735 11767 15029 16435 19549 23009 23165 27265 27685 31939 32431 35465 38171 42385 49651 58835 75145 82369 88027 97745 105203 115045 134767 136843 159695 161063 162155 189953 190855 223573 227017 248255 290813 347557 371431 411845 440135 526015 616189 673835 684215 801509 805315 943369 949765 957901 1117865 1135085 1329671 1454065 1565011 1737785 1857155 2035691 2600017 3080945 3609107 4007545 4313323 4716845 4789505 5525447 5610563 6603583 6648355 7825055 9307697 10178455 13000085 14249837 15228671 18045535 18200119 21566615 25263749 27627235 28052815 32861869 33017915 38678129 39273941 46538485 71249185 76143355 91000595 106600697 126318745 164309345 176846243 193390645 196369705 230033083 270746903 533003485 624375511 746204879 884231215 1150165415 1353734515 1610231581 3121877555 3731024395 4370628577 8051157905 21853142885 30594400039 152972000195