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153230475216 = 243713157223441
BaseRepresentation
bin1000111010110100111…
…1110111111111010000
3112122111220011122202210
42032231033313333100
510002304000201331
6154220524512120
714033123356230
oct2165517677720
9478456148683
10153230475216
1159a91676a85
12258446ab640
13115ac92b360
1475b882dcc0
153ebc4ec446
hex23ad3f7fd0

153230475216 has 160 divisors (see below), whose sum is σ = 490299674368. Its totient is φ = 40154849280.

The previous prime is 153230475161. The next prime is 153230475217. The reversal of 153230475216 is 612574032351.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153230475217) 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, 574056 + ... + 797496.

Almost surely, 2153230475216 is an apocalyptic number.

153230475216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153230475216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245149837184).

153230475216 is an abundant number, since it is smaller than the sum of its proper divisors (337069199152).

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

153230475216 is a wasteful number, since it uses less digits than its factorization.

153230475216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223629 (or 223623 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 153230475216 in words is "one hundred fifty-three billion, two hundred thirty million, four hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 157 168 182 208 273 312 314 336 364 471 546 624 628 728 942 1092 1099 1256 1456 1884 2041 2184 2198 2512 3297 3768 4082 4368 4396 6123 6594 7536 8164 8792 12246 13188 14287 16328 17584 24492 26376 28574 32656 42861 48984 52752 57148 85722 97968 114296 171444 223441 228592 342888 446882 670323 685776 893764 1340646 1564087 1787528 2681292 2904733 3128174 3575056 4692261 5362584 5809466 6256348 8714199 9384522 10725168 11618932 12512696 17428398 18769044 20333131 23237864 25025392 34856796 35080237 37538088 40666262 46475728 60999393 69713592 70160474 75076176 81332524 105240711 121998786 139427184 140320948 162665048 210481422 243997572 245561659 280641896 325330096 420962844 456043081 487995144 491123318 561283792 736684977 841925688 912086162 975990288 982246636 1368129243 1473369954 1683851376 1824172324 1964493272 2736258486 2946739908 3192301567 3648344648 3928986544 5472516972 5893479816 6384603134 7296689296 9576904701 10945033944 11786959632 12769206268 19153809402 21890067888 25538412536 38307618804 51076825072 76615237608 153230475216