Search a number
-
+
99250795392 = 2737186719777
BaseRepresentation
bin101110001101111001…
…1101111001110000000
3100111011221212210201220
41130123303233032000
53111231200423032
6113332320555040
710112345561340
oct1343363571600
9314157783656
1099250795392
1139101539641
121729aa82a80
139489532cc8
144b37758d20
1528ad59812c
hex171bcef380

99250795392 has 128 divisors (see below), whose sum is σ = 301473680640. Its totient is φ = 28340748288.

The previous prime is 99250795339. The next prime is 99250795393. The reversal of 99250795392 is 29359705299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99250795393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5008608 + ... + 5028384.

It is an arithmetic number, because the mean of its divisors is an integer number (2355263130).

Almost surely, 299250795392 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 99250795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150736840320).

99250795392 is an abundant number, since it is smaller than the sum of its proper divisors (202222885248).

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

99250795392 is a wasteful number, since it uses less digits than its factorization.

99250795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21668 (or 21656 counting only the distinct ones).

The product of its (nonzero) digits is 13778100, while the sum is 60.

The spelling of 99250795392 in words is "ninety-nine billion, two hundred fifty million, seven hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1867 2688 3734 5601 7468 11202 13069 14936 19777 22404 26138 29872 39207 39554 44808 52276 59331 59744 78414 79108 89616 104552 118662 119488 138439 156828 158216 179232 209104 237324 238976 276878 313656 316432 358464 415317 418208 474648 553756 627312 632864 716928 830634 836416 949296 1107512 1254624 1265728 1661268 1672832 1898592 2215024 2509248 2531456 3322536 3797184 4430048 5018496 6645072 7594368 8860096 13290144 17720192 26580288 36923659 53160576 73847318 110770977 147694636 221541954 258465613 295389272 443083908 516931226 590778544 775396839 886167816 1033862452 1181557088 1550793678 1772335632 2067724904 2363114176 3101587356 3544671264 4135449808 4726228352 6203174712 7089342528 8270899616 12406349424 14178685056 16541799232 24812698848 33083598464 49625397696 99250795392