Search a number
-
+
29321376192 = 263318479187
BaseRepresentation
bin11011010011101100…
…001011000111000000
32210200110100020112000
4123103230023013000
5440022233014232
621245310504000
72055416404533
oct332354130700
983613306460
1029321376192
1111487174a09
125823805000
1329c38cb654
1415c2276a1a
15b6927a27c
hex6d3b0b1c0

29321376192 has 112 divisors (see below), whose sum is σ = 86255473920. Its totient is φ = 9767437056.

The previous prime is 29321376179. The next prime is 29321376277. The reversal of 29321376192 is 29167312392.

29321376192 is a `hidden beast` number, since 2 + 9 + 3 + 21 + 3 + 7 + 619 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3187023 + ... + 3196209.

It is an arithmetic number, because the mean of its divisors is an integer number (770138160).

Almost surely, 229321376192 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 29321376192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43127736960).

29321376192 is an abundant number, since it is smaller than the sum of its proper divisors (56934097728).

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

29321376192 is a wasteful number, since it uses less digits than its factorization.

29321376192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11055 (or 11039 counting only the distinct ones).

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

The spelling of 29321376192 in words is "twenty-nine billion, three hundred twenty-one million, three hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 1847 3694 5541 7388 9187 11082 14776 16623 18374 22164 27561 29552 33246 36748 44328 49869 55122 59104 66492 73496 82683 88656 99738 110244 118208 132984 146992 165366 177312 199476 220488 248049 265968 293984 330732 354624 398952 440976 496098 531936 587968 661464 797904 881952 992196 1063872 1322928 1595808 1763904 1984392 2645856 3191616 3968784 5291712 7937568 15875136 16968389 33936778 50905167 67873556 101810334 135747112 152715501 203620668 271494224 305431002 407241336 458146503 542988448 610862004 814482672 916293006 1085976896 1221724008 1628965344 1832586012 2443448016 3257930688 3665172024 4886896032 7330344048 9773792064 14660688096 29321376192