Search a number
-
+
90168950720 = 2656110942379
BaseRepresentation
bin101001111111001111…
…1001111111111000000
322121202000210021221102
41103332133033333000
52434131222410340
6105231213313532
76341320302152
oct1237637177700
9277660707842
1090168950720
1135271027292
12155854958a8
13866cb27b14
14451551aad2
15252b101215
hex14fe7cffc0

90168950720 has 112 divisors (see below), whose sum is σ = 220242079200. Its totient is φ = 35150008320.

The previous prime is 90168950701. The next prime is 90168950737. The reversal of 90168950720 is 2705986109.

It is a congruent number.

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, 2106491 + ... + 2148869.

Almost surely, 290168950720 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 90168950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110121039600).

90168950720 is an abundant number, since it is smaller than the sum of its proper divisors (130073128480).

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

90168950720 is a wasteful number, since it uses less digits than its factorization.

90168950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42566 (or 42556 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 90168950720 in words is "ninety billion, one hundred sixty-eight million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 109 122 160 218 244 305 320 436 488 545 610 872 976 1090 1220 1744 1952 2180 2440 3488 3904 4360 4880 6649 6976 8720 9760 13298 17440 19520 26596 33245 34880 42379 53192 66490 84758 106384 132980 169516 211895 212768 265960 339032 423790 425536 531920 678064 847580 1063840 1356128 1695160 2127680 2585119 2712256 3390320 4619311 5170238 6780640 9238622 10340476 12925595 13561280 18477244 20680952 23096555 25851190 36954488 41361904 46193110 51702380 73908976 82723808 92386220 103404760 147817952 165447616 184772440 206809520 281777971 295635904 369544880 413619040 563555942 739089760 827238080 1127111884 1408889855 1478179520 2254223768 2817779710 4508447536 5635559420 9016895072 11271118840 18033790144 22542237680 45084475360 90168950720