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9732050132 = 227479101127
BaseRepresentation
bin10010001000001001…
…10100110011010100
3221010020120101000012
421010010310303110
5124412401101012
64245411335352
7463112030000
oct110404646324
927106511005
109732050132
114144541342
121a772b1558
13bc133185c
14684733700
153be5d0622
hex244134cd4

9732050132 has 120 divisors (see below), whose sum is σ = 20479119360. Its totient is φ = 4045204800.

The previous prime is 9732050101. The next prime is 9732050143. The reversal of 9732050132 is 2310502379.

It is a super-2 number, since 2×97320501322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76630253 + ... + 76630379.

It is an arithmetic number, because the mean of its divisors is an integer number (170659328).

Almost surely, 29732050132 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 9732050132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239559680).

9732050132 is an abundant number, since it is smaller than the sum of its proper divisors (10747069228).

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

9732050132 is a wasteful number, since it uses less digits than its factorization.

9732050132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 9732050132 is about 98651.1537286818. The cubic root of 9732050132 is about 2135.0175327773.

The spelling of 9732050132 in words is "nine billion, seven hundred thirty-two million, fifty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 79 98 101 127 158 196 202 254 316 343 404 508 553 686 707 889 1106 1372 1414 1778 2212 2401 2828 3556 3871 4802 4949 6223 7742 7979 9604 9898 10033 12446 12827 15484 15958 19796 20066 24892 25654 27097 31916 34643 40132 43561 51308 54194 55853 69286 70231 87122 89789 108388 111706 138572 140462 174244 179578 189679 223412 242501 280924 304927 359156 379358 390971 485002 491617 609854 628523 758716 781942 970004 983234 1013333 1219708 1257046 1563884 1966468 2026666 2514092 2736797 3441319 4053332 4399661 5473594 6882638 7093331 8799322 10947188 13765276 14186662 17598644 19157579 24089233 28373324 30797627 38315158 48178466 49653317 61595254 76630316 96356932 99306634 123190508 198613268 347573219 695146438 1390292876 2433012533 4866025066 9732050132