Search a number
-
+
29672814336 = 2831119318199
BaseRepresentation
bin11011101000101000…
…110011011100000000
32211120221122011000120
4123220220303130000
5441232220024321
621344223220240
72100214521534
oct335050633400
984527564016
1029672814336
1111647591660
125901447680
132a4b669309
141616bd9bc4
15b8a049ec6
hex6e8a33700

29672814336 has 144 divisors (see below), whose sum is σ = 86603462400. Its totient is φ = 8944680960.

The previous prime is 29672814277. The next prime is 29672814371. The reversal of 29672814336 is 63341827692.

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, 1621365 + ... + 1639563.

Almost surely, 229672814336 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 29672814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43301731200).

29672814336 is an abundant number, since it is smaller than the sum of its proper divisors (56930648064).

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

29672814336 is a wasteful number, since it uses less digits than its factorization.

29672814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422 (or 18408 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 29672814336 in words is "twenty-nine billion, six hundred seventy-two million, eight hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 193 256 264 352 384 386 528 579 704 768 772 1056 1158 1408 1544 2112 2123 2316 2816 3088 4224 4246 4632 6176 6369 8448 8492 9264 12352 12738 16984 18199 18528 24704 25476 33968 36398 37056 49408 50952 54597 67936 72796 74112 101904 109194 135872 145592 148224 200189 203808 218388 271744 291184 400378 407616 436776 543488 582368 600567 800756 815232 873552 1164736 1201134 1601512 1630464 1747104 2329472 2402268 3203024 3494208 3512407 4658944 4804536 6406048 6988416 7024814 9609072 10537221 12812096 13976832 14049628 19218144 21074442 25624192 28099256 38436288 38636477 42148884 51248384 56198512 76872576 77272954 84297768 112397024 115909431 153745152 154545908 168595536 224794048 231818862 309091816 337191072 449588096 463637724 618183632 674382144 899176192 927275448 1236367264 1348764288 1854550896 2472734528 2697528576 3709101792 4945469056 7418203584 9890938112 14836407168 29672814336