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29291162320 = 2457295334031
BaseRepresentation
bin11011010001111000…
…111010101011010000
32210121100111012212201
4123101320322223100
5434442014143240
621242311132544
72054601525460
oct332170725320
983540435781
1029291162320
1111471108872
125815674154
1329ba580214
1415bc24dba0
15b667acd9a
hex6d1e3aad0

29291162320 has 160 divisors (see below), whose sum is σ = 82036177920. Its totient is φ = 9513154560.

The previous prime is 29291162317. The next prime is 29291162339. The reversal of 29291162320 is 2326119292.

It is a self number, because there is not a number n which added to its sum of digits gives 29291162320.

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, 843705 + ... + 877735.

It is an arithmetic number, because the mean of its divisors is an integer number (512726112).

Almost surely, 229291162320 is an apocalyptic number.

29291162320 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 29291162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41018088960).

29291162320 is an abundant number, since it is smaller than the sum of its proper divisors (52745015600).

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

29291162320 is a wasteful number, since it uses less digits than its factorization.

29291162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34133 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 29291162320 in words is "twenty-nine billion, two hundred ninety-one million, one hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 53 56 58 70 80 106 112 116 140 145 203 212 232 265 280 290 371 406 424 464 530 560 580 742 812 848 1015 1060 1160 1484 1537 1624 1855 2030 2120 2320 2968 3074 3248 3710 4060 4240 5936 6148 7420 7685 8120 10759 12296 14840 15370 16240 21518 24592 29680 30740 34031 43036 53795 61480 68062 86072 107590 122960 136124 170155 172144 215180 238217 272248 340310 430360 476434 544496 680620 860720 952868 986899 1191085 1361240 1803643 1905736 1973798 2382170 2722480 3607286 3811472 3947596 4764340 4934495 6908293 7214572 7895192 9018215 9528680 9868990 12625501 13816586 14429144 15790384 18036430 19057360 19737980 25251002 27633172 28858288 34541465 36072860 39475960 50502004 52305647 55266344 63127505 69082930 72145720 78951920 101004008 104611294 110532688 126255010 138165860 144291440 202008016 209222588 252510020 261528235 276331720 366139529 418445176 505020040 523056470 552663440 732279058 836890352 1010040080 1046112940 1464558116 1830697645 2092225880 2929116232 3661395290 4184451760 5858232464 7322790580 14645581160 29291162320