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49706249152 = 267231511297
BaseRepresentation
bin101110010010101110…
…010010101111000000
311202022010002002012211
4232102232102233000
51303244244433102
634500145231504
73406524101200
oct562256225700
9152263062184
1049706249152
111a09797775a
129772632594
1348c1c4c461
142597706400
15145dbbc7d7
hexb92b92bc0

49706249152 has 84 divisors (see below), whose sum is σ = 118441159104. Its totient is φ = 20615454720.

The previous prime is 49706249111. The next prime is 49706249161. The reversal of 49706249152 is 25194260794.

It is a happy number.

It is a super-2 number, since 2×497062491522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 49706249096 and 49706249105.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 158433 + ... + 352864.

Almost surely, 249706249152 is an apocalyptic number.

It is an amenable number.

49706249152 is an abundant number, since it is smaller than the sum of its proper divisors (68734909952).

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

49706249152 is a wasteful number, since it uses less digits than its factorization.

49706249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511354 (or 511337 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 49706249152 in words is "forty-nine billion, seven hundred six million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 992 1519 1568 1736 1984 3038 3136 3472 6076 6944 12152 13888 24304 48608 97216 511297 1022594 2045188 3579079 4090376 7158158 8180752 14316316 15850207 16361504 25053553 28632632 31700414 32723008 50107106 57265264 63400828 100214212 110951449 114530528 126801656 200428424 221902898 229061056 253603312 400856848 443805796 507206624 776660143 801713696 887611592 1014413248 1553320286 1603427392 1775223184 3106640572 3550446368 6213281144 7100892736 12426562288 24853124576 49706249152