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3948131247104 = 21011350508811
BaseRepresentation
bin111001011100111110111…
…101011110010000000000
3111222102211001111001021002
4321130332331132100000
51004141233044401404
612221425122351132
7555146241612152
oct71347675362000
914872731431232
103948131247104
111292436185940
125392111bb4a8
132283cbb45985
14d913a75aad2
156ca7752ac1e
hex3973ef5e400

3948131247104 has 44 divisors (see below), whose sum is σ = 8609898457968. Its totient is φ = 1794605107200.

The previous prime is 3948131247103. The next prime is 3948131247131. The reversal of 3948131247104 is 4017421318493.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (3948131247101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175243142 + ... + 175265669.

Almost surely, 23948131247104 is an apocalyptic number.

It is an amenable number.

3948131247104 is an abundant number, since it is smaller than the sum of its proper divisors (4661767210864).

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

3948131247104 is a wasteful number, since it uses less digits than its factorization.

3948131247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350508842 (or 350508824 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 3948131247104 in words is "three trillion, nine hundred forty-eight billion, one hundred thirty-one million, two hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 350508811 701017622 1402035244 2804070488 3855596921 5608140976 7711193842 11216281952 15422387684 22432563904 30844775368 44865127808 61689550736 89730255616 123379101472 179460511232 246758202944 358921022464 493516405888 987032811776 1974065623552 3948131247104