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58476734624 = 2571133297129
BaseRepresentation
bin110110011101011111…
…000010100010100000
312120221100021220111002
4312131133002202200
51424230021001444
642510331211132
74140052020530
oct663537024240
9176840256432
1058476734624
1122888657260
12b3bb8a6aa8
13568bcb0429
142b8a4554c0
1517c3b5ed4e
hexd9d7c28a0

58476734624 has 96 divisors (see below), whose sum is σ = 143597059200. Its totient is φ = 22773104640.

The previous prime is 58476734609. The next prime is 58476734653. The reversal of 58476734624 is 42643767485.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 58476734624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8199092 + ... + 8206220.

It is an arithmetic number, because the mean of its divisors is an integer number (1495802700).

Almost surely, 258476734624 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 58476734624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71798529600).

58476734624 is an abundant number, since it is smaller than the sum of its proper divisors (85120324576).

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

58476734624 is a wasteful number, since it uses less digits than its factorization.

58476734624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10478 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 56.

The spelling of 58476734624 in words is "fifty-eight billion, four hundred seventy-six million, seven hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 3329 6658 7129 13316 14258 23303 26632 28516 36619 46606 49903 53264 57032 73238 78419 93212 99806 106528 114064 146476 156838 186424 199612 228128 256333 292952 313676 372848 399224 512666 548933 585904 627352 745696 798448 1025332 1097866 1171808 1254704 1596896 2050664 2195732 2509408 4101328 4391464 8202656 8782928 17565856 23732441 47464882 94929764 166127087 189859528 261056851 332254174 379719056 522113702 664508348 759438112 1044227404 1329016696 1827397957 2088454808 2658033392 3654795914 4176909616 5316066784 7309591828 8353819232 14619183656 29238367312 58476734624