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29419094355 = 35743137199239
BaseRepresentation
bin11011011001100000…
…111100000101010011
32210221021012211122020
4123121200330011103
5440222242004410
621303121142523
72061014114250
oct333140740523
983837184566
1029419094355
1111527348022
12585048aa43
132a0ac23651
1415d1232427
15b72b2da70
hex6d983c153

29419094355 has 128 divisors (see below), whose sum is σ = 55959552000. Its totient is φ = 12920269824.

The previous prime is 29419094329. The next prime is 29419094381. The reversal of 29419094355 is 55349091492.

It is an interprime number because it is at equal distance from previous prime (29419094329) and next prime (29419094381).

It is not a de Polignac number, because 29419094355 - 25 = 29419094323 is a prime.

It is a super-2 number, since 2×294190943552 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29419094298 and 29419094307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123092326 + ... + 123092564.

It is an arithmetic number, because the mean of its divisors is an integer number (437184000).

Almost surely, 229419094355 is an apocalyptic number.

29419094355 is a deficient number, since it is larger than the sum of its proper divisors (26540457645).

29419094355 is a wasteful number, since it uses less digits than its factorization.

29419094355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 29419094355 in words is "twenty-nine billion, four hundred nineteen million, ninety-four thousand, three hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 137 199 215 239 301 411 597 645 685 717 903 959 995 1195 1393 1505 1673 2055 2877 2985 3585 4179 4515 4795 5019 5891 6965 8365 8557 10277 14385 17673 20895 25095 25671 27263 29455 30831 32743 41237 42785 47561 51385 59899 71939 81789 88365 98229 123711 128355 136315 142683 154155 163715 179697 190841 206185 215817 229201 237805 299495 332927 359695 408945 491145 572523 618555 687603 713415 898485 954205 998781 1079085 1146005 1172309 1407949 1664635 2045123 2862615 3438015 3516927 4223847 4993905 5861545 6135369 6515857 7039745 8206163 9855643 10225615 14315861 17584635 19547571 21119235 24618489 29566929 30676845 32579285 41030815 42947583 45610999 49278215 71579305 97737855 123092445 136832997 147834645 214737915 228054995 280181851 684164985 840545553 1400909255 1961272957 4202727765 5883818871 9806364785 29419094355