Search a number
-
+
101963436288 = 283783228511
BaseRepresentation
bin101111011110101111…
…1101001000100000000
3100202012000012020111020
41132331133221010000
53132310114430123
6114501422145440
710236514623360
oct1367537510400
9322160166436
10101963436288
113a27377991a
1217917422280
1397cc52436c
144d13b1c9a0
1529bb7c87e3
hex17bd7e9100

101963436288 has 144 divisors (see below), whose sum is σ = 313876770816. Its totient is φ = 28781291520.

The previous prime is 101963436257. The next prime is 101963436307. The reversal of 101963436288 is 882634369101.

It is a self number, because there is not a number n which added to its sum of digits gives 101963436288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331953 + ... + 560463.

Almost surely, 2101963436288 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 101963436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156938385408).

101963436288 is an abundant number, since it is smaller than the sum of its proper divisors (211913334528).

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

101963436288 is an equidigital number, since it uses as much as digits as its factorization.

101963436288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228620 (or 228606 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 101963436288 in words is "one hundred one billion, nine hundred sixty-three million, four hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 256 332 336 384 448 498 581 664 672 768 896 996 1162 1328 1344 1743 1792 1992 2324 2656 2688 3486 3984 4648 5312 5376 6972 7968 9296 10624 13944 15936 18592 21248 27888 31872 37184 55776 63744 74368 111552 148736 223104 228511 446208 457022 685533 914044 1371066 1599577 1828088 2742132 3199154 3656176 4798731 5484264 6398308 7312352 9597462 10968528 12796616 14624704 18966413 19194924 21937056 25593232 29249408 37932826 38389848 43874112 51186464 56899239 58498816 75865652 76779696 87748224 102372928 113798478 132764891 151731304 153559392 175496448 204745856 227596956 265529782 303462608 307118784 398294673 409491712 455193912 531059564 606925216 614237568 796589346 910387824 1062119128 1213850432 1228475136 1593178692 1820775648 2124238256 2427700864 3186357384 3641551296 4248476512 4855401728 6372714768 7283102592 8496953024 12745429536 14566205184 16993906048 25490859072 33987812096 50981718144 101963436288