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29955210822420 = 223513223128441861
BaseRepresentation
bin1101100111110011111011…
…01100110100001100010100
310221001200122010221210102020
412303321331230310030110
512411241232432304140
6143413122303413140
76211123022561442
oct663717554641424
9127050563853366
1029955210822420
1195a9a2a640014
12343962b5b41b0
1313939c2104400
14757ba8b19b92
1536e30cb316d0
hex1b3e7db34314

29955210822420 has 144 divisors (see below), whose sum is σ = 94771598527872. Its totient is φ = 7052999416320.

The previous prime is 29955210822413. The next prime is 29955210822437. The reversal of 29955210822420 is 2422801255992.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63987711 + ... + 64454150.

It is an arithmetic number, because the mean of its divisors is an integer number (658136100888).

Almost surely, 229955210822420 is an apocalyptic number.

29955210822420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29955210822420 is an abundant number, since it is smaller than the sum of its proper divisors (64816387705452).

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

29955210822420 is a wasteful number, since it uses less digits than its factorization.

29955210822420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128441922 (or 128441907 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 29955210822420 in words is "twenty-nine trillion, nine hundred fifty-five billion, two hundred ten million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 169 195 230 260 276 299 338 345 390 460 507 598 676 690 780 845 897 1014 1196 1380 1495 1690 1794 2028 2535 2990 3380 3588 3887 4485 5070 5980 7774 8970 10140 11661 15548 17940 19435 23322 38870 46644 58305 77740 116610 233220 128441861 256883722 385325583 513767444 642209305 770651166 1284418610 1541302332 1669744193 1926627915 2568837220 2954162803 3339488386 3853255830 5009232579 5908325606 6678976772 7706511660 8348720965 8862488409 10018465158 11816651212 14770814015 16697441930 17724976818 20036930316 21706674509 25046162895 29541628030 33394883860 35449953636 38404116439 43413349018 44312442045 50092325790 59083256060 65120023527 76808232878 86826698036 88624884090 100184651580 108533372545 115212349317 130240047054 153616465756 177249768180 192020582195 217066745090 230424698634 260480094108 325600117635 384041164390 434133490180 460849397268 499253513707 576061746585 651200235270 768082328780 998507027414 1152123493170 1302400470540 1497760541121 1997014054828 2304246986340 2496267568535 2995521082242 4992535137070 5991042164484 7488802705605 9985070274140 14977605411210 29955210822420