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46013011488 = 2532233685697
BaseRepresentation
bin101010110110100101…
…101101011000100000
311101202201121011120200
4222312211231120200
51223213312331423
633045454305200
73216150100353
oct526645553040
9141681534520
1046013011488
1118572166624
128b017b8200
134453a55822
14232700629a
1512e483ed43
hexab696d620

46013011488 has 72 divisors (see below), whose sum is σ = 131411278908. Its totient is φ = 15271821312.

The previous prime is 46013011487. The next prime is 46013011489. The reversal of 46013011488 is 88411031064.

It is a happy number.

46013011488 is a `hidden beast` number, since 4 + 601 + 3 + 0 + 1 + 1 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46013011487) and next prime (46013011489).

It can be written as a sum of positive squares in 2 ways, for example, as 45323003664 + 690007824 = 212892^2 + 26268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46013011487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 275745 + ... + 409952.

Almost surely, 246013011488 is an apocalyptic number.

46013011488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46013011488 is an abundant number, since it is smaller than the sum of its proper divisors (85398267420).

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

46013011488 is a wasteful number, since it uses less digits than its factorization.

46013011488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685946 (or 685935 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 46013011488 in words is "forty-six billion, thirteen million, eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 16776 22368 33552 67104 685697 1371394 2057091 2742788 4114182 5485576 6171273 8228364 10971152 12342546 16456728 21942304 24685092 32913456 49370184 65826912 98740368 159767401 197480736 319534802 479302203 639069604 958604406 1278139208 1437906609 1917208812 2556278416 2875813218 3834417624 5112556832 5751626436 7668835248 11503252872 15337670496 23006505744 46013011488