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29712703644 = 223213436172393
BaseRepresentation
bin11011101011000000…
…111110000010011100
32211200201200201212100
4123223000332002130
5441322423004034
621352210205100
72101210546101
oct335300760234
984621621770
1029712703644
1111668057028
125912883790
132a569c4660
14161c220aa8
15b8d7c9099
hex6eb03e09c

29712703644 has 144 divisors (see below), whose sum is σ = 82934403552. Its totient is φ = 8911558656.

The previous prime is 29712703621. The next prime is 29712703651. The reversal of 29712703644 is 44630721792.

It is a self number, because there is not a number n which added to its sum of digits gives 29712703644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12415312 + ... + 12417704.

It is an arithmetic number, because the mean of its divisors is an integer number (575933358).

Almost surely, 229712703644 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 29712703644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467201776).

29712703644 is an abundant number, since it is smaller than the sum of its proper divisors (53221699908).

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

29712703644 is a wasteful number, since it uses less digits than its factorization.

29712703644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 29712703644 in words is "twenty-nine billion, seven hundred twelve million, seven hundred three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 617 774 1118 1234 1548 1677 1851 2236 2393 2468 3354 3702 4786 5031 5553 6708 7179 7404 8021 9572 10062 11106 14358 16042 20124 21537 22212 24063 26531 28716 31109 32084 43074 48126 53062 62218 72189 79593 86148 93327 96252 102899 106124 124436 144378 159186 186654 205798 238779 279981 288756 308697 318372 344903 373308 411596 477558 559962 617394 689806 926091 955116 1034709 1119924 1234788 1337687 1379612 1476481 1852182 2069418 2675374 2952962 3104127 3704364 4013061 4138836 4429443 5350748 5905924 6208254 8026122 8858886 12039183 12416508 13288329 16052244 17717772 19194253 24078366 26576658 38388506 48156732 53153316 57582759 63488683 76777012 115165518 126977366 172748277 190466049 230331036 253954732 345496554 380932098 571398147 690993108 761864196 825352879 1142796294 1650705758 2285592588 2476058637 3301411516 4952117274 7428175911 9904234548 14856351822 29712703644