Search a number
-
+
83970130176 = 283260372
BaseRepresentation
bin100111000110100000…
…0101000000100000000
322000202000121120202100
41032031000220010000
52333432323131201
6102324135150400
76031600221102
oct1161500500400
9260660546670
1083970130176
113267aa496a9
1214335515400
137bc27c887a
1440c8155572
1522b6ce3886
hex138d028100

83970130176 has 81 divisors (see below), whose sum is σ = 242146696701. Its totient is φ = 27985406976.

The previous prime is 83970130117. The next prime is 83970130183. The reversal of 83970130176 is 67103107938.

The square root of 83970130176 is 289776.

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., 16486560000 + 67483570176 = 128400^2 + 259776^2 .

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, 13906230 + ... + 13912266.

Almost surely, 283970130176 is an apocalyptic number.

83970130176 is the 289776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83970130176

83970130176 is an abundant number, since it is smaller than the sum of its proper divisors (158176566525).

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

83970130176 is an frugal number, since it uses more digits than its factorization.

83970130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 83970130176 in words is "eighty-three billion, nine hundred seventy million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6037 12074 18111 24148 36222 48296 54333 72444 96592 108666 144888 193184 217332 289776 386368 434664 579552 772736 869328 1159104 1545472 1738656 2318208 3477312 4636416 6954624 13909248 36445369 72890738 109336107 145781476 218672214 291562952 328008321 437344428 583125904 656016642 874688856 1166251808 1312033284 1749377712 2332503616 2624066568 3498755424 4665007232 5248133136 6997510848 9330014464 10496266272 13995021696 20992532544 27990043392 41985065088 83970130176