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4648998489984 = 27325968399813
BaseRepresentation
bin100001110100110110111…
…1001110100111110000000
3121110102212200211221120200
41003221231321310332000
51102132122103134414
613515415340005200
7656610342103452
oct103515571647600
917412780757520
104648998489984
1115326a14a2992
12631010230800
13279524b7a384
14121026cd22d2
1580de77de109
hex43a6de74f80

4648998489984 has 96 divisors (see below), whose sum is σ = 13604723004600. Its totient is φ = 1523400612864.

The previous prime is 4648998489959. The next prime is 4648998489991. The reversal of 4648998489984 is 4899848998464.

It is a happy number.

4648998489984 is a `hidden beast` number, since 4 + 6 + 48 + 9 + 9 + 8 + 489 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46489984899842 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4648998489894 and 4648998489903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34131939 + ... + 34267874.

Almost surely, 24648998489984 is an apocalyptic number.

It is an amenable number.

4648998489984 is an abundant number, since it is smaller than the sum of its proper divisors (8955724514616).

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

4648998489984 is a wasteful number, since it uses less digits than its factorization.

4648998489984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68399892 (or 68399877 counting only the distinct ones).

The product of its digits is 41278242816, while the sum is 90.

The spelling of 4648998489984 in words is "four trillion, six hundred forty-eight billion, nine hundred ninety-eight million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 67968 68399813 136799626 205199439 273599252 410398878 547198504 615598317 820797756 1094397008 1231196634 1641595512 2188794016 2462393268 3283191024 4035588967 4377588032 4924786536 6566382048 8071177934 8755176064 9849573072 12106766901 13132764096 16142355868 19699146144 24213533802 26265528192 32284711736 36320300703 39398292288 48427067604 64569423472 72640601406 78796584576 96854135208 129138846944 145281202812 193708270416 258277693888 290562405624 387416540832 516555387776 581124811248 774833081664 1162249622496 1549666163328 2324499244992 4648998489984