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152430053334 = 231319597922067
BaseRepresentation
bin1000110111110110001…
…0100000011111010110
3112120110010001000100220
42031331202200133112
54444134043201314
6154005253015210
714004234034566
oct2157542403726
9476403030326
10152430053334
1159710878199
1225660624506
13114b2b5b440
1475403d4da6
153e720e03a9
hex237d8a07d6

152430053334 has 128 divisors (see below), whose sum is σ = 355912704000. Its totient is φ = 43125084288.

The previous prime is 152430053333. The next prime is 152430053351. The reversal of 152430053334 is 433350034251.

It is a junction number, because it is equal to n+sod(n) for n = 152430053295 and 152430053304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152430053333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6896569 + ... + 6918635.

It is an arithmetic number, because the mean of its divisors is an integer number (2780568000).

Almost surely, 2152430053334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152430053334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177956352000).

152430053334 is an abundant number, since it is smaller than the sum of its proper divisors (203482650666).

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

152430053334 is a wasteful number, since it uses less digits than its factorization.

152430053334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22242.

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 152430053334 its reverse (433350034251), we get a palindrome (585780087585).

The spelling of 152430053334 in words is "one hundred fifty-two billion, four hundred thirty million, fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 79 114 118 158 177 237 247 354 474 494 741 767 1027 1121 1482 1501 1534 2054 2242 2301 3002 3081 3363 4503 4602 4661 6162 6726 9006 9322 13983 14573 19513 22067 27966 29146 39026 43719 44134 58539 60593 66201 87438 88559 117078 121186 132402 177118 181779 265677 286871 363558 419273 531354 573742 838546 860613 1151267 1257819 1301953 1721226 1743293 2302534 2515638 2603906 3453801 3486586 3905859 5229879 5450549 6907602 7811718 10459758 10901098 16351647 16925389 22662809 24737107 32703294 33122567 33850778 45325618 49474214 50776167 66245134 67988427 74211321 99367701 101552334 102854287 135976854 148422642 198735402 205708574 308562861 321582391 430593371 617125722 643164782 861186742 964747173 1291780113 1337105731 1929494346 1954231453 2583560226 2674211462 3908462906 4011317193 5862694359 8022634386 11725388718 25405008889 50810017778 76215026667 152430053334