Search a number
-
+
2077639816 = 237192816949
BaseRepresentation
bin111101111010110…
…0100010010001000
312100210110001000211
41323311210102020
513223333433231
6542055010504
7102325434640
oct17365442210
95323401024
102077639816
119768565aa
1249b969a34
1327158c395
14159d09520
15c25ebeb1
hex7bd64488

2077639816 has 64 divisors (see below), whose sum is σ = 4703760000. Its totient is φ = 840430080.

The previous prime is 2077639771. The next prime is 2077639829. The reversal of 2077639816 is 6189367702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2077639816.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295510 + ... + 302458.

It is an arithmetic number, because the mean of its divisors is an integer number (73496250).

Almost surely, 22077639816 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 2077639816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351880000).

2077639816 is an abundant number, since it is smaller than the sum of its proper divisors (2626120184).

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

2077639816 is a wasteful number, since it uses less digits than its factorization.

2077639816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 2077639816 is about 45581.1344308147. The cubic root of 2077639816 is about 1276.0178602270.

The spelling of 2077639816 in words is "two billion, seventy-seven million, six hundred thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 281 532 562 1064 1124 1967 2248 3934 5339 6949 7868 10678 13898 15736 21356 27796 37373 42712 48643 55592 74746 97286 132031 149492 194572 264062 298984 389144 528124 924217 1056248 1848434 1952669 3696868 3905338 7393736 7810676 13668683 15621352 27337366 37100711 54674732 74201422 109349464 148402844 259704977 296805688 519409954 1038819908 2077639816