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46091796100 = 22527230672
BaseRepresentation
bin101010111011010010…
…001111111010000100
311101222012211211202021
4222323102033322010
51223343444433400
633101351052524
73221124542200
oct527322177204
9141865754667
1046091796100
1118602687679
128b24071144
13446717b93c
142333673b00
1512eb70371a
hexabb48fe84

46091796100 has 81 divisors (see below), whose sum is σ = 116386810533. Its totient is φ = 15797748960.

The previous prime is 46091796077. The next prime is 46091796119. The reversal of 46091796100 is 169719064.

It is a happy number.

The square root of 46091796100 is 214690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16593046596 + 29498749504 = 128814^2 + 171752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15026767 + ... + 15029833.

Almost surely, 246091796100 is an apocalyptic number.

46091796100 is the 214690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46091796100

46091796100 is an abundant number, since it is smaller than the sum of its proper divisors (70295014433).

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

46091796100 is an equidigital number, since it uses as much as digits as its factorization.

46091796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 46091796100 in words is "forty-six billion, ninety-one million, seven hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 3067 4900 6134 12268 15335 21469 30670 42938 61340 76675 85876 107345 150283 153350 214690 300566 306700 429380 536725 601132 751415 1073450 1502830 2146900 3005660 3757075 7514150 9406489 15028300 18812978 37625956 47032445 65845423 94064890 131690846 188129780 235162225 263381692 329227115 460917961 470324450 658454230 921835922 940648900 1316908460 1646135575 1843671844 2304589805 3292271150 4609179610 6584542300 9218359220 11522949025 23045898050 46091796100