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49855640784 = 24317149433947
BaseRepresentation
bin101110011011101000…
…001011010011010000
311202200112011222000020
4232123220023103100
51304101021001114
634523043223440
73413316645255
oct563350132320
9152615158006
1049855640784
111a164233914
1297b4677b80
134916b97481
1425ad4b342c
15146bd7baa9
hexb9ba0b4d0

49855640784 has 160 divisors (see below), whose sum is σ = 137747433600. Its totient is φ = 15483764736.

The previous prime is 49855640777. The next prime is 49855640867. The reversal of 49855640784 is 48704655894.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 52645399 + ... + 52646345.

It is an arithmetic number, because the mean of its divisors is an integer number (860921460).

Almost surely, 249855640784 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 49855640784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68873716800).

49855640784 is an abundant number, since it is smaller than the sum of its proper divisors (87891792816).

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

49855640784 is a wasteful number, since it uses less digits than its factorization.

49855640784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 49855640784 in words is "forty-nine billion, eight hundred fifty-five million, six hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 149 204 272 298 408 433 447 596 816 866 894 947 1192 1299 1732 1788 1894 2384 2533 2598 2841 3464 3576 3788 5066 5196 5682 6928 7152 7361 7576 7599 10132 10392 11364 14722 15152 15198 16099 20264 20784 22083 22728 29444 30396 32198 40528 44166 45456 48297 58888 60792 64396 64517 88332 96594 117776 121584 128792 129034 141103 176664 193188 193551 257584 258068 282206 353328 386376 387102 410051 423309 516136 564412 772752 774204 820102 846618 1032272 1096789 1128824 1230153 1548408 1640204 1693236 2193578 2257648 2398751 2460306 3096816 3280408 3290367 3386472 4387156 4797502 4920612 6560816 6580734 6772944 6970867 7196253 8774312 9595004 9841224 13161468 13941734 14392506 17548624 19190008 19682448 20912601 26322936 27883468 28785012 38380016 41825202 52645872 55766936 57570024 61097599 83650404 111533872 115140048 122195198 167300808 183292797 244390396 334601616 366585594 488780792 733171188 977561584 1038659183 1466342376 2077318366 2932684752 3115977549 4154636732 6231955098 8309273464 12463910196 16618546928 24927820392 49855640784