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96372219060 = 2232513311328539
BaseRepresentation
bin101100111000000111…
…0110101110010110100
3100012202100022222100200
41121300032311302310
53034332242002220
6112134531040500
76651123226455
oct1316016656264
9305670288320
1096372219060
1137964672637
1216816a40130
13911b0536c0
14494331d12c
1527909db890
hex16703b5cb4

96372219060 has 144 divisors (see below), whose sum is σ = 324971512320. Its totient is φ = 22957136640.

The previous prime is 96372219001. The next prime is 96372219067. The reversal of 96372219060 is 6091227369.

It is a happy number.

96372219060 is a `hidden beast` number, since 9 + 6 + 372 + 219 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 96372218997 and 96372219015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96372219067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591730 + ... + 736809.

Almost surely, 296372219060 is an apocalyptic number.

96372219060 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96372219060 is an abundant number, since it is smaller than the sum of its proper divisors (228599293260).

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

96372219060 is a wasteful number, since it uses less digits than its factorization.

96372219060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328598 (or 1328593 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 96372219060 in words is "ninety-six billion, three hundred seventy-two million, two hundred nineteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 36270 72540 1328539 2657078 3985617 5314156 6642695 7971234 11956851 13285390 15942468 17271007 19928085 23913702 26570780 34542014 39856170 41184709 47827404 51813021 59784255 69084028 79712340 82369418 86355035 103626042 119568510 123554127 155439063 164738836 172710070 205923545 207252084 239137020 247108254 259065105 310878126 345420140 370662381 411847090 494216508 518130210 535401217 617770635 621756252 741324762 777195315 823694180 1036260420 1070802434 1235541270 1482649524 1554390630 1606203651 1853311905 2141604868 2471082540 2677006085 3108781260 3212407302 3706623810 4818610953 5354012170 6424814604 7413247620 8031018255 9637221906 10708024340 16062036510 19274443812 24093054765 32124073020 48186109530 96372219060