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10349470208 = 29711793323
BaseRepresentation
bin10011010001110000…
…00110001000000000
3222201021100120010102
421220320012020000
5132143431021313
64430545021532
7514320021350
oct115070061000
928637316112
1010349470208
114431008170
12200a0248a8
13c8c21948c
14702732b60
154088dea58
hex268e06200

10349470208 has 160 divisors (see below), whose sum is σ = 26115471360. Its totient is φ = 3980021760.

The previous prime is 10349470177. The next prime is 10349470211. The reversal of 10349470208 is 80207494301.

It is a super-2 number, since 2×103494702082 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3112835 + ... + 3116157.

It is an arithmetic number, because the mean of its divisors is an integer number (163221696).

Almost surely, 210349470208 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 10349470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057735680).

10349470208 is an abundant number, since it is smaller than the sum of its proper divisors (15766001152).

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

10349470208 is an equidigital number, since it uses as much as digits as its factorization.

10349470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 10349470208 in words is "ten billion, three hundred forty-nine million, four hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 79 88 112 128 154 158 176 224 256 308 316 352 448 512 553 616 632 704 869 896 1106 1232 1264 1408 1738 1792 2212 2464 2528 2816 3323 3476 3584 4424 4928 5056 5632 6083 6646 6952 8848 9856 10112 12166 13292 13904 17696 19712 20224 23261 24332 26584 27808 35392 36553 39424 40448 46522 48664 53168 55616 70784 73106 93044 97328 106336 111232 141568 146212 186088 194656 212672 222464 255871 262517 283136 292424 372176 389312 425344 444928 511742 525034 584848 744352 778624 850688 1023484 1050068 1169696 1488704 1557248 1701376 1837619 2046968 2100136 2339392 2887687 2977408 3114496 3675238 4093936 4200272 4678784 5775374 5954816 7350476 8187872 8400544 9357568 11550748 11909632 14700952 16375744 16801088 18715136 20213809 23101496 29401904 32751488 33602176 40427618 46202992 58803808 65502976 67204352 80855236 92405984 117607616 131005952 134408704 161710472 184811968 235215232 323420944 369623936 470430464 646841888 739247872 940860928 1293683776 1478495744 2587367552 5174735104 10349470208