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9995981244 = 2231947289223
BaseRepresentation
bin10010100111100111…
…01001000110111100
3221210122012110102120
421103303221012330
5130432432344434
64331520322540
7502465303314
oct112363510674
927718173376
109995981244
11426a51a727
121b2b773450
13c33c11202
146ab7d8444
153d7867349
hex253ce91bc

9995981244 has 144 divisors (see below), whose sum is σ = 25480627200. Its totient is φ = 3041051904.

The previous prime is 9995981167. The next prime is 9995981251. The reversal of 9995981244 is 4421895999.

Its product of digits (8398080) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44824917 + ... + 44825139.

It is an arithmetic number, because the mean of its divisors is an integer number (176948800).

Almost surely, 29995981244 is an apocalyptic number.

9995981244 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995981244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740313600).

9995981244 is an abundant number, since it is smaller than the sum of its proper divisors (15484645956).

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

9995981244 is a wasteful number, since it uses less digits than its factorization.

9995981244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 383 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 9995981244 is about 99979.9042007943. The cubic root of 9995981244 is about 2154.1460464509.

The spelling of 9995981244 in words is "nine billion, nine hundred ninety-five million, nine hundred eighty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 89 94 114 141 178 188 223 228 267 282 356 446 534 564 669 892 893 1068 1338 1691 1786 2209 2676 2679 3382 3572 4183 4237 4418 5073 5358 6627 6764 8366 8474 8836 10146 10481 10716 12549 12711 13254 16732 16948 19847 20292 20962 25098 25422 26508 31443 39694 41924 41971 50196 50844 59541 62886 79388 79477 83942 119082 125772 125913 158954 167884 196601 199139 238164 238431 251826 317908 377093 393202 398278 476862 492607 503652 589803 597417 754186 786404 796556 932809 953724 985214 1131279 1179606 1194834 1477821 1508372 1865618 1970428 2262558 2359212 2389668 2798427 2955642 3731236 3735419 4525116 5596854 5911284 7470838 9359533 11193708 11206257 14941676 17723371 18719066 22412514 28078599 35446742 37438132 43842023 44825028 53170113 56157198 70893484 87684046 106340226 112314396 131526069 175368092 212680452 263052138 526104276 832998437 1665996874 2498995311 3331993748 4997990622 9995981244