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29811530480 = 24517193731181
BaseRepresentation
bin11011110000111001…
…111101101011110000
32211221121122122210112
4123300321331223300
5442023222433410
621410100320452
72103520554014
oct336071755360
984847578715
1029811530480
11117089170a6
12593b9a3128
132a71317184
14162b3c8544
15b972eb105
hex6f0e7daf0

29811530480 has 160 divisors (see below), whose sum is σ = 79341975360. Its totient is φ = 10344775680.

The previous prime is 29811530479. The next prime is 29811530509. The reversal of 29811530480 is 8403511892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940490 + ... + 971670.

It is an arithmetic number, because the mean of its divisors is an integer number (495887346).

Almost surely, 229811530480 is an apocalyptic number.

29811530480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29811530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39670987680).

29811530480 is an abundant number, since it is smaller than the sum of its proper divisors (49530444880).

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

29811530480 is a wasteful number, since it uses less digits than its factorization.

29811530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31267 (or 31261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 29811530480 in words is "twenty-nine billion, eight hundred eleven million, five hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 37 38 40 68 74 76 80 85 95 136 148 152 170 185 190 272 296 304 323 340 370 380 592 629 646 680 703 740 760 1258 1292 1360 1406 1480 1520 1615 2516 2584 2812 2960 3145 3230 3515 5032 5168 5624 6290 6460 7030 10064 11248 11951 12580 12920 14060 23902 25160 25840 28120 31181 47804 50320 56240 59755 62362 95608 119510 124724 155905 191216 239020 249448 311810 478040 498896 530077 592439 623620 956080 1060154 1153697 1184878 1247240 2120308 2307394 2369756 2494480 2650385 2962195 4240616 4614788 4739512 5300770 5768485 5924390 8481232 9229576 9479024 10071463 10601540 11536970 11848780 18459152 19612849 20142926 21203080 21920243 23073940 23697560 39225698 40285852 42406160 43840486 46147880 47395120 50357315 78451396 80571704 87680972 92295760 98064245 100714630 109601215 156902792 161143408 175361944 196128490 201429260 219202430 313805584 350723888 372644131 392256980 402858520 438404860 745288262 784513960 805717040 876809720 1490576524 1569027920 1753619440 1863220655 2981153048 3726441310 5962306096 7452882620 14905765240 29811530480