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29923100672 = 21131643733
BaseRepresentation
bin11011110111100011…
…100100100000000000
32212020101121000022212
4123313203210200000
5442240303210142
621425123521252
72106344105363
oct336743444000
985211530285
1029923100672
11117658a0473
125971229228
132a8b47c13a
14163c14c0da
15ba1ed8d82
hex6f78e4800

29923100672 has 96 divisors (see below), whose sum is σ = 61942083840. Its totient is φ = 14436679680.

The previous prime is 29923100659. The next prime is 29923100719. The reversal of 29923100672 is 27600132992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40822418 + ... + 40823150.

It is an arithmetic number, because the mean of its divisors is an integer number (645230040).

Almost surely, 229923100672 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 29923100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30971041920).

29923100672 is an abundant number, since it is smaller than the sum of its proper divisors (32018983168).

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

29923100672 is an equidigital number, since it uses as much as digits as its factorization.

29923100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 29923100672 in words is "twenty-nine billion, nine hundred twenty-three million, one hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 643 733 992 1024 1286 1466 1984 2048 2572 2932 3968 5144 5864 7936 10288 11728 15872 19933 20576 22723 23456 31744 39866 41152 45446 46912 63488 79732 82304 90892 93824 159464 164608 181784 187648 318928 329216 363568 375296 471319 637856 658432 727136 750592 942638 1275712 1316864 1454272 1501184 1885276 2551424 2908544 3770552 5102848 5817088 7541104 10205696 11634176 14610889 15082208 20411392 23268352 29221778 30164416 40822784 46536704 58443556 60328832 116887112 120657664 233774224 241315328 467548448 482630656 935096896 965261312 1870193792 3740387584 7480775168 14961550336 29923100672