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93503681472 = 2634678831181
BaseRepresentation
bin101011100010101000…
…0001111001111000000
322221100102200011112210
41113011100033033000
53012443420301342
6110542140222120
76520052115225
oct1270520171700
9287312604483
1093503681472
1136722432913
121615623a940
138a8197a496
14475037794c
152673c6479c
hex15c540f3c0

93503681472 has 112 divisors (see below), whose sum is σ = 248415852672. Its totient is φ = 31039626240.

The previous prime is 93503681449. The next prime is 93503681519. The reversal of 93503681472 is 27418630539.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79172722 + ... + 79173902.

It is a 1-persistent number, because it is pandigital, but 2⋅93503681472 = 187007362944 is not.

Almost surely, 293503681472 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 93503681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124207926336).

93503681472 is an abundant number, since it is smaller than the sum of its proper divisors (154912171200).

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

93503681472 is a wasteful number, since it uses less digits than its factorization.

93503681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 93503681472 in words is "ninety-three billion, five hundred three million, six hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 467 883 934 1181 1401 1766 1868 2362 2649 2802 3532 3543 3736 4724 5298 5604 7064 7086 7472 9448 10596 11208 14128 14172 14944 18896 21192 22416 28256 28344 29888 37792 42384 44832 56512 56688 75584 84768 89664 113376 169536 226752 412361 551527 824722 1042823 1103054 1237083 1649444 1654581 2085646 2206108 2474166 3128469 3298888 3309162 4171292 4412216 4948332 6256938 6597776 6618324 8342584 8824432 9896664 12513876 13195552 13236648 16685168 17648864 19793328 25027752 26391104 26473296 33370336 35297728 39586656 50055504 52946592 66740672 79173312 100111008 105893184 200222016 486998341 973996682 1460995023 1947993364 2921990046 3895986728 5843980092 7791973456 11687960184 15583946912 23375920368 31167893824 46751840736 93503681472