Search a number
-
+
51084148144 = 2419678124781
BaseRepresentation
bin101111100100110110…
…100011110110110000
311212212010211121021211
4233210312203312300
51314110020220034
635245010325504
73455625044341
oct574466436660
9155763747254
1051084148144
111a734740657
129a97b89894
134a815603c3
1426887040c8
1514deb48d64
hexbe4da3db0

51084148144 has 40 divisors (see below), whose sum is σ = 104204344880. Its totient is φ = 24193209600.

The previous prime is 51084148139. The next prime is 51084148169. The reversal of 51084148144 is 44184148015.

It is a junction number, because it is equal to n+sod(n) for n = 51084148097 and 51084148106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049034 + ... + 2073814.

It is an arithmetic number, because the mean of its divisors is an integer number (2605108622).

Almost surely, 251084148144 is an apocalyptic number.

It is an amenable number.

51084148144 is an abundant number, since it is smaller than the sum of its proper divisors (53120196736).

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

51084148144 is a wasteful number, since it uses less digits than its factorization.

51084148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31589 (or 31583 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 51084148144 in words is "fifty-one billion, eighty-four million, one hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 6781 13562 24781 27124 49562 54248 99124 108496 128839 198248 257678 396496 470839 515356 941678 1030712 1883356 2061424 3766712 7533424 168039961 336079922 672159844 1344319688 2688639376 3192759259 6385518518 12771037036 25542074072 51084148144