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101938384848 = 2439752142023
BaseRepresentation
bin101111011110000000…
…0000100111111010000
3100202010021001111101010
41132330000010333100
53132232211303343
6114455125210520
710236061655166
oct1367400047720
9322107044333
10101938384848
113a260619353
121790ab60a40
1397c7292921
144d1067b236
1529b94cad33
hex17bc004fd0

101938384848 has 80 divisors (see below), whose sum is σ = 266572688256. Its totient is φ = 33563811840.

The previous prime is 101938384841. The next prime is 101938384883. The reversal of 101938384848 is 848483839101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101938384841) by changing a digit.

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, 2404765 + ... + 2446787.

Almost surely, 2101938384848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101938384848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133286344128).

101938384848 is an abundant number, since it is smaller than the sum of its proper divisors (164634303408).

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

101938384848 is a wasteful number, since it uses less digits than its factorization.

101938384848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42652 (or 42646 counting only the distinct ones).

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

The spelling of 101938384848 in words is "one hundred one billion, nine hundred thirty-eight million, three hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 521 582 776 1042 1164 1552 1563 2084 2328 3126 4168 4656 6252 8336 12504 25008 42023 50537 84046 101074 126069 151611 168092 202148 252138 303222 336184 404296 504276 606444 672368 808592 1008552 1212888 2017104 2425776 4076231 8152462 12228693 16304924 21893983 24457386 32609848 43787966 48914772 65219696 65681949 87575932 97829544 131363898 175151864 195659088 262727796 350303728 525455592 1050911184 2123716351 4247432702 6371149053 8494865404 12742298106 16989730808 25484596212 33979461616 50969192424 101938384848