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253600141055316 = 2231147363531124443
BaseRepresentation
bin111001101010010111100010…
…010100101001010101010100
31020020220221021212100000011120
4321222113202110221111110
5231214441042102232231
62255210144012003540
7104263001623065036
oct7152274224512524
91206827255300146
10253600141055316
1173894241313650
12245394a61605b0
13ab67510458a23
14468a453005c56
151e4bac5874d96
hexe6a5e2529554

253600141055316 has 96 divisors (see below), whose sum is σ = 659280983574528. Its totient is φ = 75211316674560.

The previous prime is 253600141055201. The next prime is 253600141055329. The reversal of 253600141055316 is 613550141006352.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224971791 + ... + 226096233.

It is an arithmetic number, because the mean of its divisors is an integer number (6867510245568).

Almost surely, 2253600141055316 is an apocalyptic number.

It is an amenable number.

253600141055316 is an abundant number, since it is smaller than the sum of its proper divisors (405680842519212).

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

253600141055316 is a wasteful number, since it uses less digits than its factorization.

253600141055316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160861 (or 1160859 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 253600141055316 in words is "two hundred fifty-three trillion, six hundred billion, one hundred forty-one million, fifty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 36353 72706 109059 145412 218118 399883 436236 799766 1124443 1199649 1599532 1708591 2248886 2399298 3373329 3417182 4497772 4798596 5125773 6746658 6834364 10251546 12368873 13493316 18794501 20503092 24737746 37106619 37589002 49475492 52848821 56383503 74213238 75178004 105697642 112767006 148426476 158546463 211395284 225534012 317092926 581337031 634185852 1162674062 1744011093 2325348124 3488022186 6976044372 40876876379 81753752758 122630629137 163507505516 245261258274 449645640169 490522516548 899291280338 1348936920507 1798582560676 1921213189813 2697873841014 3842426379626 5395747682028 5763639569439 7684852759252 11527279138878 21133345087943 23054558277756 42266690175886 63400035263829 84533380351772 126800070527658 253600141055316