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96375134544 = 243131075872459
BaseRepresentation
bin101100111000001100…
…1111101100101010000
3100012202112211002122120
41121300121331211100
53034334013301134
6112135113334240
76651160061433
oct1316031754520
9305675732576
1096375134544
1137966284027
1216817a07380
13911b834740
14494387b81a
152790db5649
hex167067d950

96375134544 has 160 divisors (see below), whose sum is σ = 271197642240. Its totient is φ = 29314776576.

The previous prime is 96375134533. The next prime is 96375134549. The reversal of 96375134544 is 44543157369.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96375134549) 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, 39191587 + ... + 39194045.

It is an arithmetic number, because the mean of its divisors is an integer number (1694985264).

Almost surely, 296375134544 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 96375134544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135598821120).

96375134544 is an abundant number, since it is smaller than the sum of its proper divisors (174822507696).

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

96375134544 is a wasteful number, since it uses less digits than its factorization.

96375134544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3171 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 96375134544 in words is "ninety-six billion, three hundred seventy-five million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 587 624 642 856 1174 1284 1391 1712 1761 2348 2459 2568 2782 3522 4173 4696 4918 5136 5564 7044 7377 7631 8346 9392 9836 11128 14088 14754 15262 16692 19672 22256 22893 28176 29508 30524 31967 33384 39344 45786 59016 61048 62809 63934 66768 91572 95901 118032 122096 125618 127868 183144 188427 191802 251236 255736 263113 366288 376854 383604 502472 511472 526226 753708 767208 789339 816517 1004944 1052452 1443433 1507416 1534416 1578678 1633034 2104904 2449551 2886866 3014832 3157356 3266068 3420469 4209808 4330299 4899102 5773732 6314712 6532136 6840938 8660598 9798204 10261407 11547464 12629424 13064272 13681876 17321196 18764629 19596408 20522814 23094928 27363752 34642392 37529258 39192816 41045628 54727504 56293887 69284784 75058516 82091256 112587774 150117032 154447331 164182512 225175548 300234064 308894662 450351096 463341993 617789324 900702192 926683986 1235578648 1853367972 2007815303 2471157296 3706735944 4015630606 6023445909 7413471888 8031261212 12046891818 16062522424 24093783636 32125044848 48187567272 96375134544