Search a number
-
+
10231396288 = 263761193367
BaseRepresentation
bin10011000011101011…
…01011011111000000
3222102001011210011021
421201311223133000
5131423214140123
64411130155224
7511354301461
oct114165533700
928361153137
1010231396288
1143803a1513
121b96582b14
13c70918159
146d0b98d68
153ed369c5d
hex261d6b7c0

10231396288 has 112 divisors (see below), whose sum is σ = 21361343104. Its totient is φ = 4857200640.

The previous prime is 10231396277. The next prime is 10231396309. The reversal of 10231396288 is 88269313201.

10231396288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27878281 + ... + 27878647.

Almost surely, 210231396288 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 10231396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10680671552).

10231396288 is an abundant number, since it is smaller than the sum of its proper divisors (11129946816).

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

10231396288 is a wasteful number, since it uses less digits than its factorization.

10231396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10231396288 in words is "ten billion, two hundred thirty-one million, three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 148 193 244 296 367 386 488 592 734 772 976 1184 1468 1544 1952 2257 2368 2936 3088 3904 4514 5872 6176 7141 9028 11744 11773 12352 13579 14282 18056 22387 23488 23546 27158 28564 36112 44774 47092 54316 57128 70831 72224 89548 94184 108632 114256 141662 144448 179096 188368 217264 228512 283324 358192 376736 434528 435601 457024 566648 716384 753472 828319 869056 871202 1133296 1432768 1656638 1742404 2266592 2620747 3313276 3484808 4320691 4533184 5241494 6626552 6969616 8641382 10482988 13253104 13939232 17282764 20965976 26506208 27878464 34565528 41931952 53012416 69131056 83863904 138262112 159865567 167727808 276524224 319731134 639462268 1278924536 2557849072 5115698144 10231396288