Search a number
-
+
29270751900 = 22352137505321
BaseRepresentation
bin11011010000101011…
…000011101010011100
32210112221002021001020
4123100223003222130
5434421303030100
621240301444140
72054233200045
oct332053035234
983487067036
1029270751900
1111460638155
12580a870650
1329b6285050
1415b96598cc
15b64aca5a0
hex6d0ac3a9c

29270751900 has 72 divisors (see below), whose sum is σ = 91204672944. Its totient is φ = 7205107200.

The previous prime is 29270751767. The next prime is 29270751907. The reversal of 29270751900 is 915707292.

It is a super-2 number, since 2×292707519002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29270751907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3748761 + ... + 3756560.

Almost surely, 229270751900 is an apocalyptic number.

29270751900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29270751900 is an abundant number, since it is smaller than the sum of its proper divisors (61933921044).

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

29270751900 is a wasteful number, since it uses less digits than its factorization.

29270751900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505351 (or 7505344 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 29270751900 in words is "twenty-nine billion, two hundred seventy million, seven hundred fifty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 7505321 15010642 22515963 30021284 37526605 45031926 75053210 90063852 97569173 112579815 150106420 187633025 195138346 225159630 292707519 375266050 390276692 450319260 487845865 562899075 585415038 750532100 975691730 1125798150 1170830076 1463537595 1951383460 2251596300 2439229325 2927075190 4878458650 5854150380 7317687975 9756917300 14635375950 29270751900