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9942658272 = 2532319971117
BaseRepresentation
bin10010100001010000…
…01110110011100000
3221122220212101001200
421100220032303200
5130330310031042
64322333401200
7501250125621
oct112050166340
927586771050
109942658272
11424240a358
121b15939200
13c25b61461
146a46b7a48
153d2d32c4c
hex250a0ece0

9942658272 has 144 divisors (see below), whose sum is σ = 29241942912. Its totient is φ = 3201223680.

The previous prime is 9942658213. The next prime is 9942658279. The reversal of 9942658272 is 2728562499.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942658279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8900658 + ... + 8901774.

It is an arithmetic number, because the mean of its divisors is an integer number (203069048).

Almost surely, 29942658272 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 9942658272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620971456).

9942658272 is an abundant number, since it is smaller than the sum of its proper divisors (19299284640).

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

9942658272 is a wasteful number, since it uses less digits than its factorization.

9942658272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2150 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 9942658272 is about 99712.8791681396. The cubic root of 9942658272 is about 2150.3088268836.

The spelling of 9942658272 in words is "nine billion, nine hundred forty-two million, six hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 997 1116 1117 1488 1994 2232 2234 2976 2991 3351 3988 4464 4468 5982 6702 7976 8928 8936 8973 10053 11964 13404 15952 17872 17946 20106 23928 26808 30907 31904 34627 35744 35892 40212 47856 53616 61814 69254 71784 80424 92721 95712 103881 107232 123628 138508 143568 160848 185442 207762 247256 277016 278163 287136 311643 321696 370884 415524 494512 554032 556326 623286 741768 831048 989024 1108064 1112652 1113649 1246572 1483536 1662096 2225304 2227298 2493144 2967072 3324192 3340947 4450608 4454596 4986288 6681894 8901216 8909192 9972576 10022841 13363788 17818384 20045682 26727576 34523119 35636768 40091364 53455152 69046238 80182728 103569357 106910304 138092476 160365456 207138714 276184952 310708071 320730912 414277428 552369904 621416142 828554856 1104739808 1242832284 1657109712 2485664568 3314219424 4971329136 9942658272