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153206849312 = 25114314967933
BaseRepresentation
bin1000111010101111010…
…1101111111100100000
3112122110020201100010022
42032223311233330200
510002231423134222
6154214322253012
714032415506106
oct2165365577440
9478406640108
10153206849312
1159a7a2aa540
12258387b7168
13115a7a7872a
1475b563dc76
153eba3d2042
hex23abd6ff20

153206849312 has 96 divisors (see below), whose sum is σ = 338963486400. Its totient is φ = 67562449920.

The previous prime is 153206849249. The next prime is 153206849339. The reversal of 153206849312 is 213948602351.

It is a super-2 number, since 2×1532068493122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2221298 + ... + 2289230.

It is an arithmetic number, because the mean of its divisors is an integer number (3530869650).

Almost surely, 2153206849312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153206849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169481743200).

153206849312 is an abundant number, since it is smaller than the sum of its proper divisors (185756637088).

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

153206849312 is a wasteful number, since it uses less digits than its factorization.

153206849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68146 (or 68138 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 153206849312 in words is "one hundred fifty-three billion, two hundred six million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 149 172 176 298 344 352 473 596 688 946 1192 1376 1639 1892 2384 3278 3784 4768 6407 6556 7568 12814 13112 15136 25628 26224 51256 52448 67933 70477 102512 135866 140954 205024 271732 281908 543464 563816 747263 1086928 1127632 1494526 2173856 2255264 2921119 2989052 5842238 5978104 10122017 11684476 11956208 20244034 23368952 23912416 32132309 40488068 46737904 64264618 80976136 93475808 111342187 128529236 161952272 222684374 257058472 323904544 435246731 445368748 514116944 870493462 890737496 1028233888 1740986924 1781474992 3481973848 3562949984 4787714041 6963947696 9575428082 13927895392 19150856164 38301712328 76603424656 153206849312