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95919219340 = 225717313128761
BaseRepresentation
bin101100101010100111…
…0110010001010001100
3100011120202221012120021
41121111032302022030
53032420310004330
6112021545431524
76633652624540
oct1312516621214
9304522835507
1095919219340
11377519981aa
121670b19b5a4
139078246529
1448dd0bda20
152765d5967a
hex16553b228c

95919219340 has 96 divisors (see below), whose sum is σ = 244528308864. Its totient is φ = 30852956160.

The previous prime is 95919219301. The next prime is 95919219353. The reversal of 95919219340 is 4391291959.

95919219340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 680560 + ... + 809320.

It is an arithmetic number, because the mean of its divisors is an integer number (2547169884).

Almost surely, 295919219340 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 95919219340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122264154432).

95919219340 is an abundant number, since it is smaller than the sum of its proper divisors (148609089524).

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

95919219340 is a wasteful number, since it uses less digits than its factorization.

95919219340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129107 (or 129105 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 52.

The spelling of 95919219340 in words is "ninety-five billion, nine hundred nineteen million, two hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 313 340 476 595 626 1190 1252 1565 2191 2380 3130 4382 5321 6260 8764 10642 10955 21284 21910 26605 37247 43820 53210 74494 106420 128761 148988 186235 257522 372470 515044 643805 744940 901327 1287610 1802654 2188937 2575220 3605308 4377874 4506635 8755748 9013270 10944685 15322559 18026540 21889370 30645118 40302193 43778740 61290236 76612795 80604386 153225590 161208772 201510965 282115351 306451180 403021930 564230702 685137281 806043860 1128461404 1370274562 1410576755 2740549124 2821153510 3425686405 4795960967 5642307020 6851372810 9591921934 13702745620 19183843868 23979804835 47959609670 95919219340