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29555966070 = 235523950891
BaseRepresentation
bin11011100001101011…
…000100000001110110
32211021210202122100000
4123201223010001312
5441012311403240
621324450532130
72064265365201
oct334153040166
984253678300
1029555966070
1111597632844
12588a297046
132a303a6b27
1416054a0938
15b7eb68430
hex6e1ac4076

29555966070 has 96 divisors (see below), whose sum is σ = 80026652160. Its totient is φ = 7848459360.

The previous prime is 29555966039. The next prime is 29555966101. The reversal of 29555966070 is 7066955592.

It is a happy number.

29555966070 is a `hidden beast` number, since 29 + 5 + 5 + 5 + 9 + 6 + 607 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (29555966039) and next prime (29555966101).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29555965998 and 29555966016.

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, 555325 + ... + 606215.

It is an arithmetic number, because the mean of its divisors is an integer number (833610960).

Almost surely, 229555966070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29555966070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40013326080).

29555966070 is an abundant number, since it is smaller than the sum of its proper divisors (50470686090).

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

29555966070 is a wasteful number, since it uses less digits than its factorization.

29555966070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51152 (or 51140 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 29555966070 in words is "twenty-nine billion, five hundred fifty-five million, nine hundred sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 239 243 270 405 478 486 717 810 1195 1215 1434 2151 2390 2430 3585 4302 6453 7170 10755 12906 19359 21510 32265 38718 50891 58077 64530 96795 101782 116154 152673 193590 254455 290385 305346 458019 508910 580770 763365 916038 1374057 1526730 2290095 2748114 4122171 4580190 6870285 8244342 12162949 12366513 13740570 20610855 24325898 24733026 36488847 41221710 60814745 61832565 72977694 109466541 121629490 123665130 182444235 218933082 328399623 364888470 547332705 656799246 985198869 1094665410 1641998115 1970397738 2955596607 3283996230 4925994345 5911193214 9851988690 14777983035 29555966070