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46348260608 = 281331743933
BaseRepresentation
bin101011001010100100…
…100101010100000000
311102122002102120220202
4223022210211110000
51224410123314413
633143032024332
73230360500136
oct531244452400
9142562376822
1046348260608
1118724426211
128b95b320a8
1344a83458a0
142359753756
151313eb2e58
hexaca925500

46348260608 has 72 divisors (see below), whose sum is σ = 99948619848. Its totient is φ = 21323538432.

The previous prime is 46348260593. The next prime is 46348260619. The reversal of 46348260608 is 80606284364.

It can be written as a sum of positive squares in 4 ways, for example, as 6079009024 + 40269251584 = 77968^2 + 200672^2 .

It is a super-2 number, since 2×463482606082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033010 + ... + 1076942.

Almost surely, 246348260608 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 46348260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49974309924).

46348260608 is an abundant number, since it is smaller than the sum of its proper divisors (53600359240).

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

46348260608 is a wasteful number, since it uses less digits than its factorization.

46348260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44279 (or 44265 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 46348260608 in words is "forty-six billion, three hundred forty-eight million, two hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 317 416 634 832 1268 1664 2536 3328 4121 5072 8242 10144 16484 20288 32968 40576 43933 65936 81152 87866 131872 175732 263744 351464 527488 571129 702928 1054976 1142258 1405856 2284516 2811712 4569032 5623424 9138064 11246848 13926761 18276128 27853522 36552256 55707044 73104512 111414088 146209024 181047893 222828176 362095786 445656352 724191572 891312704 1448383144 1782625408 2896766288 3565250816 5793532576 11587065152 23174130304 46348260608