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47358116096 = 28798389317
BaseRepresentation
bin101100000110110000…
…111000000100000000
311112020110122120012212
4230012300320010000
51233442134203341
633431144441252
73264402226214
oct540660700400
9145213576185
1047358116096
11190a2470625
129218179228
134609623905
142413908944
15137298e5eb
hexb06c38100

47358116096 has 144 divisors (see below), whose sum is σ = 98278790400. Its totient is φ = 22766075904.

The previous prime is 47358116093. The next prime is 47358116107. The reversal of 47358116096 is 69061185374.

It is not an unprimeable number, because it can be changed into a prime (47358116093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149394530 + ... + 149394846.

It is an arithmetic number, because the mean of its divisors is an integer number (682491600).

Almost surely, 247358116096 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 47358116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49139395200).

47358116096 is an abundant number, since it is smaller than the sum of its proper divisors (50920674304).

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

47358116096 is an equidigital number, since it uses as much as digits as its factorization.

47358116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 47358116096 in words is "forty-seven billion, three hundred fifty-eight million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 79 83 89 128 158 166 178 256 316 317 332 356 632 634 664 712 1264 1268 1328 1424 2528 2536 2656 2848 5056 5072 5312 5696 6557 7031 7387 10112 10144 10624 11392 13114 14062 14774 20224 20288 21248 22784 25043 26228 26311 28124 28213 29548 40576 50086 52456 52622 56248 56426 59096 81152 100172 104912 105244 112496 112852 118192 200344 209824 210488 224992 225704 236384 400688 419648 420976 449984 451408 472768 583573 801376 839296 841952 899968 902816 945536 1167146 1602752 1678592 1683904 1799936 1805632 1891072 2078569 2228827 2334292 2341679 3205504 3367808 3611264 4157138 4457654 4668584 4683358 6411008 6735616 7222528 8314276 8915308 9337168 9366716 16628552 17830616 18674336 18733432 33257104 35661232 37348672 37466864 66514208 71322464 74697344 74933728 133028416 142644928 149394688 149867456 184992641 266056832 285289856 299734912 369985282 532113664 570579712 599469824 739970564 1479941128 2959882256 5919764512 11839529024 23679058048 47358116096