Search a number
-
+
2074430547432 = 23351956162837
BaseRepresentation
bin11110001011111101101…
…100100010010111101000
321100022110122001102100000
4132023331230202113220
5232441413210004212
64224551421543000
7302605215501435
oct36137554422750
97308418042300
102074430547432
1172a840a66801
12296056714a60
13120805878c09
147258da92b8c
1538e6255d1dc
hex1e2fdb225e8

2074430547432 has 96 divisors (see below), whose sum is σ = 6132981909600. Its totient is φ = 655083319104.

The previous prime is 2074430547407. The next prime is 2074430547439. The reversal of 2074430547432 is 2347450344702.

2074430547432 is a `hidden beast` number, since 2 + 0 + 7 + 44 + 30 + 547 + 4 + 32 = 666.

It is a super-2 number, since 2×20744305474322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2074430547439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28044483 + ... + 28118354.

It is an arithmetic number, because the mean of its divisors is an integer number (63885228225).

Almost surely, 22074430547432 is an apocalyptic number.

It is an amenable number.

2074430547432 is an abundant number, since it is smaller than the sum of its proper divisors (4058551362168).

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

2074430547432 is a wasteful number, since it uses less digits than its factorization.

2074430547432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56162877 (or 56162861 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 45.

The spelling of 2074430547432 in words is "two trillion, seventy-four billion, four hundred thirty million, five hundred forty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 18468 36936 56162837 112325674 168488511 224651348 336977022 449302696 505465533 673954044 1010931066 1067093903 1347908088 1516396599 2021862132 2134187806 3032793198 3201281709 4043724264 4268375612 4549189797 6065586396 6402563418 8536751224 9098379594 9603845127 12131172792 12805126836 13647569391 18196759188 19207690254 25610253672 27295138782 28811535381 36393518376 38415380508 54590277564 57623070762 76830761016 86434606143 109180555128 115246141524 172869212286 230492283048 259303818429 345738424572 518607636858 691476849144 1037215273716 2074430547432