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109221896061184 = 2867297492
BaseRepresentation
bin11000110101011000110100…
…010100010000000100000000
3112022201111210201201012100111
4120311120310110100010000
5103303442420342424214
61024143502452001104
732002010255254564
oct3065306424200400
9468644721635314
10109221896061184
113188a822a10335
12102bbb28000194
1348c377178450a
141cd8521a216a4
15c961a386c5c4
hex635634510100

109221896061184 has 81 divisors (see below), whose sum is σ = 221342402402877. Its totient is φ = 53790341164032.

The previous prime is 109221896061163. The next prime is 109221896061199. The reversal of 109221896061184 is 481160698122901.

The square root of 109221896061184 is 10450928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15723826147584 + 93498069913600 = 3965328^2 + 9669440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11203389942 + ... + 11203399690.

Almost surely, 2109221896061184 is an apocalyptic number.

109221896061184 is the 10450928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109221896061184

109221896061184 is an abundant number, since it is smaller than the sum of its proper divisors (112120506341693).

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

109221896061184 is an frugal number, since it uses more digits than its factorization.

109221896061184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 58.

The spelling of 109221896061184 in words is "one hundred nine trillion, two hundred twenty-one billion, eight hundred ninety-six million, sixty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 4489 8576 8978 9749 17152 17956 19498 35912 38996 71824 77992 143648 155984 287296 311968 574592 623936 653183 1149184 1247872 1306366 2495744 2612732 5225464 10450928 20901856 41803712 43763261 83607424 87526522 95043001 167214848 175053044 190086002 350106088 380172004 700212176 760344008 1400424352 1520688016 2800848704 3041376032 5601697408 6082752064 6367881067 11203394816 12165504128 12735762134 24331008256 25471524268 50943048536 101886097072 203772194144 407544388288 426648031489 815088776576 853296062978 1630177553152 1706592125956 3413184251912 6826368503824 13652737007648 27305474015296 54610948030592 109221896061184