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49531934208 = 2931311991237
BaseRepresentation
bin101110001000010101…
…010101011000000000
311201211222001222001210
4232020111111120000
51302420133343313
634431001130120
73402306331311
oct561025253000
9151758058053
1049531934208
111a008538319
129724189940
134894ab9113
14257c4cc608
15144d7389c3
hexb88555600

49531934208 has 160 divisors (see below), whose sum is σ = 133739654400. Its totient is φ = 16289095680.

The previous prime is 49531934203. The next prime is 49531934273. The reversal of 49531934208 is 80243913594.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49531934201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40041366 + ... + 40042602.

It is an arithmetic number, because the mean of its divisors is an integer number (835872840).

Almost surely, 249531934208 is an apocalyptic number.

49531934208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49531934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869827200).

49531934208 is an abundant number, since it is smaller than the sum of its proper divisors (84207720192).

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

49531934208 is a wasteful number, since it uses less digits than its factorization.

49531934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 49531934208 in words is "forty-nine billion, five hundred thirty-one million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 199 256 262 384 393 398 512 524 597 768 786 796 1048 1194 1237 1536 1572 1592 2096 2388 2474 3144 3184 3711 4192 4776 4948 6288 6368 7422 8384 9552 9896 12576 12736 14844 16768 19104 19792 25152 25472 26069 29688 33536 38208 39584 50304 50944 52138 59376 67072 76416 78207 79168 100608 101888 104276 118752 152832 156414 158336 162047 201216 208552 237504 246163 305664 312828 316672 324094 417104 475008 486141 492326 625656 633344 648188 738489 834208 950016 972282 984652 1251312 1296376 1476978 1668416 1900032 1944564 1969304 2502624 2592752 2953956 3336832 3889128 3938608 5005248 5185504 5907912 6673664 7778256 7877216 10010496 10371008 11815824 13347328 15556512 15754432 20020992 20742016 23631648 31113024 31508864 32247353 40041984 41484032 47263296 62226048 63017728 64494706 82968064 94526592 96742059 124452096 126035456 128989412 189053184 193484118 248904192 257978824 378106368 386968236 515957648 773936472 1031915296 1547872944 2063830592 3095745888 4127661184 6191491776 8255322368 12382983552 16510644736 24765967104 49531934208