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48334531690872 = 23327234169645591
BaseRepresentation
bin10101111110101110000101…
…00101111000000101111000
320100010201212121201002111200
422333113002211320011320
522313403110103101442
6250444324411254200
713116024516365130
oct1277270245700570
9210121777632450
1048334531690872
1114445618073aa9
125507680a4a360
1320c7c081a38ab
14bd15920ddac0
1558c45ac1834c
hex2bf5c2978178

48334531690872 has 96 divisors (see below), whose sum is σ = 156111530964480. Its totient is φ = 13209437229120.

The previous prime is 48334531690829. The next prime is 48334531690877. The reversal of 48334531690872 is 27809613543384.

It is a happy number.

48334531690872 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 4 + 531 + 6 + 90 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48334531690877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2084811204 + ... + 2084834387.

It is an arithmetic number, because the mean of its divisors is an integer number (1626161780880).

It is a 1-persistent number, because it is pandigital, but 2⋅48334531690872 = 96669063381744 is not.

Almost surely, 248334531690872 is an apocalyptic number.

48334531690872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48334531690872 is an abundant number, since it is smaller than the sum of its proper divisors (107776999273608).

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

48334531690872 is a wasteful number, since it uses less digits than its factorization.

48334531690872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169645633 (or 4169645626 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 48334531690872 in words is "forty-eight trillion, three hundred thirty-four billion, five hundred thirty-one million, six hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 4169645591 8339291182 12508936773 16678582364 25017873546 29187519137 33357164728 37526810319 50035747092 58375038274 75053620638 87562557411 95901848593 100071494184 116750076548 150107241276 175125114822 191803697186 233500153096 262687672233 287705545779 300214482552 350250229644 383607394372 525375344466 575411091558 671312940151 700500459288 767214788744 863116637337 1050750688932 1150822183116 1342625880302 1726233274674 2013938820453 2101501377864 2301644366232 2685251760604 3452466549348 4027877640906 5370503521208 6041816461359 6904933098696 8055755281812 12083632922718 16111510563624 24167265845436 48334531690872