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48811832356 = 22724323672
BaseRepresentation
bin101101011101011010…
…010111010000100100
311122222210002000000211
4231131122113100210
51244431312113411
634231314545204
73345413505100
oct553532272044
9148883060024
1048811832356
1119779009121
129562b98204
1347ab85c151
142510a00900
15140a3e5221
hexb5d697424

48811832356 has 81 divisors (see below), whose sum is σ = 102009497499. Its totient is φ = 20377184688.

The previous prime is 48811832341. The next prime is 48811832383. The reversal of 48811832356 is 65323811884.

It is a happy number.

The square root of 48811832356 is 220934.

It is a perfect power (a square), and thus also a powerful number.

48811832356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133002085 + ... + 133002451.

Almost surely, 248811832356 is an apocalyptic number.

48811832356 is the 220934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48811832356

48811832356 is an abundant number, since it is smaller than the sum of its proper divisors (53197665143).

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

48811832356 is an equidigital number, since it uses as much as digits as its factorization.

48811832356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

Multiplying 48811832356 by its sum of digits (49), we get a square (2391779785444 = 15465382).

48811832356 divided by its sum of digits (49) gives a square (996159844 = 315622).

The spelling of 48811832356 in words is "forty-eight billion, eight hundred eleven million, eight hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 367 602 734 1204 1468 1849 2107 2569 3698 4214 5138 7396 8428 10276 12943 15781 17983 25886 31562 35966 51772 63124 71932 90601 110467 134689 181202 220934 269378 362404 441868 538756 678583 773269 942823 1357166 1546538 1885646 2714332 3093076 3771292 4750081 5791627 6599761 9500162 11583254 13199522 19000324 23166508 26399044 33250567 40541389 66501134 81082778 133002268 162165556 249039961 283789723 498079922 567579446 996159844 1135158892 1743279727 3486559454 6973118908 12202958089 24405916178 48811832356