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4194952704 = 29322339581
BaseRepresentation
bin1111101000001001…
…1110011000000000
3101211100112200021200
43322002132120000
532042401441304
61532132221200
7205645336545
oct37202363000
911740480250
104194952704
111862a3a068
12990a6a800
1351b12c547
142bb1c0bcc
15198433e39
hexfa09e600

4194952704 has 120 divisors (see below), whose sum is σ = 12633624432. Its totient is φ = 1337487360.

The previous prime is 4194952669. The next prime is 4194952721. The reversal of 4194952704 is 4072594914.

It is a self number, because there is not a number n which added to its sum of digits gives 4194952704.

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 11 ways as a sum of consecutive naturals, for example, 86194 + ... + 125774.

Almost surely, 24194952704 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 4194952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316812216).

4194952704 is an abundant number, since it is smaller than the sum of its proper divisors (8438671728).

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

4194952704 is a wasteful number, since it uses less digits than its factorization.

4194952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39628 (or 39609 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4194952704 is about 64768.4545438595. The cubic root of 4194952704 is about 1612.7820812446.

The spelling of 4194952704 in words is "four billion, one hundred ninety-four million, nine hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 26496 35328 39581 52992 79162 105984 118743 158324 237486 316648 356229 474972 633296 712458 910363 949944 1266592 1424916 1820726 1899888 2533184 2731089 2849832 3641452 3799776 5066368 5462178 5699664 7282904 7599552 8193267 10132736 10924356 11399328 14565808 15199104 16386534 20265472 21848712 22798656 29131616 30398208 32773068 43697424 45597312 58263232 60796416 65546136 87394848 91194624 116526464 131092272 174789696 182389248 233052928 262184544 349579392 466105856 524369088 699158784 1048738176 1398317568 2097476352 4194952704