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42548087376 = 2433739111481
BaseRepresentation
bin100111101000000100…
…000100101001010000
311001211020201210021000
4213220010010221100
51144114302244001
631314001102000
73034244526654
oct475004045120
9131736653230
1042548087376
1117054316883
1282b5327900
134020c4a682
1420b8b78a64
151190560a86
hex9e8104a50

42548087376 has 160 divisors (see below), whose sum is σ = 124021347840. Its totient is φ = 13963622400.

The previous prime is 42548087341. The next prime is 42548087423. The reversal of 42548087376 is 67378084524.

42548087376 is a `hidden beast` number, since 4 + 25 + 480 + 8 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28728556 + ... + 28730036.

It is an arithmetic number, because the mean of its divisors is an integer number (775133424).

Almost surely, 242548087376 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 42548087376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62010673920).

42548087376 is an abundant number, since it is smaller than the sum of its proper divisors (81473260464).

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

42548087376 is a wasteful number, since it uses less digits than its factorization.

42548087376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42548087376 in words is "forty-two billion, five hundred forty-eight million, eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 911 1168 1314 1481 1752 1822 1971 2628 2733 2962 3504 3644 3942 4443 5256 5466 5924 7288 7884 8199 8886 10512 10932 11848 13329 14576 15768 16398 17772 21864 23696 24597 26658 31536 32796 35544 39987 43728 49194 53316 65592 66503 71088 79974 98388 106632 108113 131184 133006 159948 196776 199509 213264 216226 266012 319896 324339 393552 399018 432452 532024 598527 639792 648678 798036 864904 973017 1064048 1197054 1297356 1349191 1596072 1729808 1795581 1946034 2394108 2594712 2698382 2919051 3192144 3591162 3892068 4047573 4788216 5189424 5396764 5838102 7182324 7784136 8095146 9576432 10793528 11676204 12142719 14364648 15568272 16190292 21587056 23352408 24285438 28729296 32380584 36428157 46704816 48570876 64761168 72856314 97141752 98490943 145712628 194283504 196981886 291425256 295472829 393963772 582850512 590945658 787927544 886418487 1181891316 1575855088 1772836974 2363782632 2659255461 3545673948 4727565264 5318510922 7091347896 10637021844 14182695792 21274043688 42548087376