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48098068608 = 273612717577
BaseRepresentation
bin101100110010110111…
…100100100010000000
311121011001000001020110
4230302313210202000
51242001101143413
634032420311320
73321625560162
oct546267444200
9147131001213
1048098068608
1119442118927
1293a3b42540
1346c6a11035
142483cc2932
1513b79048c3
hexb32de4880

48098068608 has 128 divisors (see below), whose sum is σ = 130351299840. Its totient is φ = 15709593600.

The previous prime is 48098068597. The next prime is 48098068619. The reversal of 48098068608 is 80686089084.

It is an interprime number because it is at equal distance from previous prime (48098068597) and next prime (48098068619).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480980686083 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6344116 + ... + 6351692.

It is an arithmetic number, because the mean of its divisors is an integer number (1018369530).

Almost surely, 248098068608 is an apocalyptic number.

48098068608 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 48098068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65175649920).

48098068608 is an abundant number, since it is smaller than the sum of its proper divisors (82253231232).

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

48098068608 is a wasteful number, since it uses less digits than its factorization.

48098068608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 48098068608 in words is "forty-eight billion, ninety-eight million, sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 271 366 384 488 542 732 813 976 1084 1464 1626 1952 2168 2928 3252 3904 4336 5856 6504 7577 7808 8672 11712 13008 15154 16531 17344 22731 23424 26016 30308 33062 34688 45462 49593 52032 60616 66124 90924 99186 104064 121232 132248 181848 198372 242464 264496 363696 396744 462197 484928 528992 727392 793488 924394 969856 1057984 1386591 1454784 1586976 1848788 2053367 2115968 2773182 2909568 3173952 3697576 4106734 5546364 6160101 6347904 7395152 8213468 11092728 12320202 14790304 16426936 22185456 24640404 29580608 32853872 44370912 49280808 59161216 65707744 88741824 98561616 125255387 131415488 177483648 197123232 250510774 262830976 375766161 394246464 501021548 751532322 788492928 1002043096 1503064644 2004086192 3006129288 4008172384 6012258576 8016344768 12024517152 16032689536 24049034304 48098068608