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9992002032 = 2432612235101
BaseRepresentation
bin10010100111001000…
…11101100111110000
3221210100201021222100
421103210131213300
5130430423031112
64331255140400
7502416421155
oct112344354760
927710637870
109992002032
114268252021
121b2a374700
13c33149c4c
146ab08022c
153d732d2dc
hex25391d9f0

9992002032 has 120 divisors (see below), whose sum is σ = 28555200128. Its totient is φ = 3260736000.

The previous prime is 9992002021. The next prime is 9992002051. The reversal of 9992002032 is 2302002999.

9992002032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1956282 + ... + 1961382.

Almost surely, 29992002032 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 9992002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277600064).

9992002032 is an abundant number, since it is smaller than the sum of its proper divisors (18563198096).

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

9992002032 is a wasteful number, since it uses less digits than its factorization.

9992002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9992002032 is about 99960.0021608643. The cubic root of 9992002032 is about 2153.8601668471.

The spelling of 9992002032 in words is "nine billion, nine hundred ninety-two million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 223 244 366 446 488 549 669 732 892 976 1098 1338 1464 1784 2007 2196 2676 2928 3568 4014 4392 5101 5352 8028 8784 10202 10704 13603 15303 16056 20404 27206 30606 32112 40808 40809 45909 54412 61212 81616 81618 91818 108824 122424 122427 163236 183636 217648 244848 244854 311161 326472 367272 489708 622322 652944 734544 933483 979416 1137523 1244644 1866966 1958832 2275046 2489288 2800449 3412569 3733932 4550092 4978576 5600898 6825138 7467864 9100184 10237707 11201796 13650276 14935728 18200368 20475414 22403592 27300552 40950828 44807184 54601104 69388903 81901656 138777806 163803312 208166709 277555612 416333418 555111224 624500127 832666836 1110222448 1249000254 1665333672 2498000508 3330667344 4996001016 9992002032