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10246196952 = 23332316312653
BaseRepresentation
bin10011000101011100…
…01000111011011000
3222110002000201212000
421202232020323120
5131441011300302
64412415321000
7511624144215
oct114256107330
928402021760
1010246196952
114388790472
121b9b520160
13c739cab44
146d2b2cb0c
153ee7e031c
hex262b88ed8

10246196952 has 128 divisors (see below), whose sum is σ = 29883686400. Its totient is φ = 3246604416.

The previous prime is 10246196941. The next prime is 10246197029. The reversal of 10246196952 is 25969164201.

10246196952 is a `hidden beast` number, since 1 + 0 + 24 + 619 + 6 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10246196898 and 10246196907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803458 + ... + 816110.

It is an arithmetic number, because the mean of its divisors is an integer number (233466300).

Almost surely, 210246196952 is an apocalyptic number.

10246196952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 101223×101224.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10246196952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941843200).

10246196952 is an abundant number, since it is smaller than the sum of its proper divisors (19637489448).

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

10246196952 is a wasteful number, since it uses less digits than its factorization.

10246196952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10246196952 in words is "ten billion, two hundred forty-six million, one hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 163 184 207 216 276 326 414 489 552 621 652 828 978 1242 1304 1467 1656 1956 2484 2934 3749 3912 4401 4968 5868 7498 8802 11247 11736 12653 14996 17604 22494 25306 29992 33741 35208 37959 44988 50612 67482 75918 89976 101223 101224 113877 134964 151836 202446 227754 269928 291019 303672 341631 404892 455508 582038 683262 809784 873057 911016 1164076 1366524 1746114 2062439 2328152 2619171 2733048 3492228 4124878 5238342 6187317 6984456 7857513 8249756 10476684 12374634 15715026 16499512 18561951 20953368 24749268 31430052 37123902 47436097 49498536 55685853 62860104 74247804 94872194 111371706 142308291 148495608 189744388 222743412 284616582 379488776 426924873 445486824 569233164 853849746 1138466328 1280774619 1707699492 2561549238 3415398984 5123098476 10246196952