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49104603648 = 293311093203
BaseRepresentation
bin101101101110110111…
…001100101000000000
311200202011222022202000
4231232313030220000
51301031234304043
634320334024000
73355600146522
oct555667145000
9150664868660
1049104603648
11199092a5571
129625048000
1348273c88b9
14253b851a12
151425e772d3
hexb6edcca00

49104603648 has 160 divisors (see below), whose sum is σ = 145529524800. Its totient is φ = 16348336128.

The previous prime is 49104603629. The next prime is 49104603671. The reversal of 49104603648 is 84630640194.

It is a super-2 number, since 2×491046036482 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15329215 + ... + 15332417.

It is an arithmetic number, because the mean of its divisors is an integer number (909559530).

Almost surely, 249104603648 is an apocalyptic number.

49104603648 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 49104603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72764762400).

49104603648 is an abundant number, since it is smaller than the sum of its proper divisors (96424921152).

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

49104603648 is a wasteful number, since it uses less digits than its factorization.

49104603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 49104603648 in words is "forty-nine billion, one hundred four million, six hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1109 1152 1536 1728 2218 2304 3203 3327 3456 4436 4608 6406 6654 6912 8872 9609 9981 12812 13308 13824 17744 19218 19962 25624 26616 28827 29943 35488 38436 39924 51248 53232 57654 59886 70976 76872 79848 86481 102496 106464 115308 119772 141952 153744 159696 172962 204992 212928 230616 239544 283904 307488 319392 345924 409984 425856 461232 479088 567808 614976 638784 691848 819968 851712 922464 958176 1229952 1277568 1383696 1639936 1703424 1844928 1916352 2459904 2555136 2767392 3552127 3689856 3832704 4919808 5110272 5534784 7104254 7379712 7665408 10656381 11069568 14208508 14759424 15330816 21312762 22139136 28417016 31969143 42625524 44278272 56834032 63938286 85251048 95907429 113668064 127876572 170502096 191814858 227336128 255753144 341004192 383629716 454672256 511506288 682008384 767259432 909344512 1023012576 1364016768 1534518864 1818689024 2046025152 2728033536 3069037728 4092050304 5456067072 6138075456 8184100608 12276150912 16368201216 24552301824 49104603648