Search a number
-
+
90370136208 = 243111317691699
BaseRepresentation
bin101010000101001111…
…0101101100010010000
322122021001100120112210
41110022132231202100
52440034223324313
6105303201352120
76346312324602
oct1241236554220
9278231316483
1090370136208
1135364649990
1215620938640
1386a27088a1
14453412b172
15253dae19c3
hex150a7ad890

90370136208 has 160 divisors (see below), whose sum is σ = 257108544000. Its totient is φ = 27124531200.

The previous prime is 90370136203. The next prime is 90370136243. The reversal of 90370136208 is 80263107309.

It is not an unprimeable number, because it can be changed into a prime (90370136203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53189343 + ... + 53191041.

It is an arithmetic number, because the mean of its divisors is an integer number (1606928400).

Almost surely, 290370136208 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 90370136208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272000).

90370136208 is an abundant number, since it is smaller than the sum of its proper divisors (166738407792).

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

90370136208 is a wasteful number, since it uses less digits than its factorization.

90370136208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 90370136208 in words is "ninety billion, three hundred seventy million, one hundred thirty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 769 786 1048 1441 1538 1572 1699 2096 2307 2882 3076 3144 3398 4323 4614 5097 5764 6152 6288 6796 8459 8646 9228 10194 11528 12304 13592 16918 17292 18456 18689 20388 23056 25377 27184 33836 34584 36912 37378 40776 50754 56067 67672 69168 74756 81552 100739 101508 112134 135344 149512 201478 203016 222569 224268 299024 302217 402956 406032 445138 448536 604434 667707 805912 890276 897072 1108129 1208868 1306531 1335414 1611824 1780552 2216258 2417736 2448259 2613062 2670828 3324387 3561104 3919593 4432516 4835472 4896518 5226124 5341656 6648774 7344777 7839186 8865032 9793036 10452248 10683312 13297548 14371841 14689554 15678372 17730064 19586072 20904496 26595096 28743682 29379108 31356744 39172144 43115523 53190192 57487364 58758216 62713488 86231046 114974728 117516432 171155561 172462092 229949456 342311122 344924184 513466683 684622244 689848368 1026933366 1369244488 1882711171 2053866732 2738488976 3765422342 4107733464 5648133513 7530844684 8215466928 11296267026 15061689368 22592534052 30123378736 45185068104 90370136208