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9800999964 = 22327295692357
BaseRepresentation
bin10010010000010111…
…10110010000011100
3221022001022101101200
421020023312100130
5130033023444324
64300313235500
7464610060630
oct111013662034
927261271350
109800999964
11417a455378
121a96402b90
13c026c3382
1468d960dc0
153c569eec9
hex2482f641c

9800999964 has 144 divisors (see below), whose sum is σ = 29354270400. Its totient is φ = 2697827328.

The previous prime is 9800999947. The next prime is 9800999981. The reversal of 9800999964 is 4699990089.

It is an interprime number because it is at equal distance from previous prime (9800999947) and next prime (9800999981).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4157074 + ... + 4159430.

It is an arithmetic number, because the mean of its divisors is an integer number (203849100).

It is a vampire number, since it can be written as 9899499006 (with its own digits).

Almost surely, 29800999964 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 9800999964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677135200).

9800999964 is an abundant number, since it is smaller than the sum of its proper divisors (19553270436).

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

9800999964 is a wasteful number, since it uses less digits than its factorization.

9800999964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The square root of 9800999964 is about 98999.9998181818. Note that the first 3 decimals coincide. The cubic root of 9800999964 is about 2140.0477442983.

The spelling of 9800999964 in words is "nine billion, eight hundred million, nine hundred ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 569 609 812 1044 1138 1218 1707 1827 2276 2357 2436 3414 3654 3983 4714 5121 6828 7071 7308 7966 9428 10242 11949 14142 15932 16499 16501 20484 21213 23898 28284 32998 33002 35847 42426 47796 49497 49503 65996 66004 68353 71694 84852 98994 99006 115507 136706 143388 148491 148509 197988 198012 205059 231014 273412 296982 297018 346521 410118 462028 478471 593964 594036 615177 693042 820236 956942 1039563 1230354 1341133 1386084 1435413 1913884 2079126 2460708 2682266 2870826 4023399 4158252 4306239 5364532 5741652 8046798 8612478 9387931 12070197 16093596 17224956 18775862 24140394 28163793 37551724 38892857 48280788 56327586 77785714 84491379 112655172 116678571 155571428 168982758 233357142 272249999 337965516 350035713 466714284 544499998 700071426 816749997 1088999996 1400142852 1633499994 2450249991 3266999988 4900499982 9800999964