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49220044224 = 2631324118179
BaseRepresentation
bin101101110101101111…
…100100010111000000
311201001020012022102220
4231311233210113000
51301300312403344
634340020211040
73361501321131
oct556557442700
9151036168386
1049220044224
11199684827aa
129657839a80
1348452b7430
14254cd01c88
15143117bc19
hexb75be45c0

49220044224 has 112 divisors (see below), whose sum is σ = 140320897920. Its totient is φ = 15136496640.

The previous prime is 49220044219. The next prime is 49220044243. The reversal of 49220044224 is 42244002294.

It is a super-2 number, since 2×492200442242 (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6013767 + ... + 6021945.

It is an arithmetic number, because the mean of its divisors is an integer number (1252865160).

Almost surely, 249220044224 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 49220044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70160448960).

49220044224 is an abundant number, since it is smaller than the sum of its proper divisors (91100853696).

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

49220044224 is a wasteful number, since it uses less digits than its factorization.

49220044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 49220044224 in words is "forty-nine billion, two hundred twenty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2411 2496 4822 7233 8179 9644 14466 16358 19288 24537 28932 31343 32716 38576 49074 57864 62686 65432 77152 94029 98148 106327 115728 125372 130864 154304 188058 196296 212654 231456 250744 261728 318981 376116 392592 425308 462912 501488 523456 637962 752232 785184 850616 1002976 1275924 1504464 1570368 1701232 2005952 2551848 3008928 3402464 5103696 6017856 6804928 10207392 19719569 20414784 39439138 59158707 78878276 118317414 157756552 236634828 256354397 315513104 473269656 512708794 631026208 769063191 946539312 1025417588 1262052416 1538126382 1893078624 2050835176 3076252764 3786157248 4101670352 6152505528 8203340704 12305011056 16406681408 24610022112 49220044224